Load in Packages

library(caret)
## Loading required package: lattice
## Loading required package: ggplot2
library(tree)
library(ISLR)
library(leaps)
library(glmnet)
## Loading required package: Matrix
## Loading required package: foreach
## Loaded glmnet 2.0-18
library(boot)
## 
## Attaching package: 'boot'
## The following object is masked from 'package:lattice':
## 
##     melanoma

Read in Data

train_knn <- read.csv("train.csv")
test_knn <- read.csv("test.csv")
train <- read.csv("train.csv")
test <- read.csv("test.csv")
dim(train)
## [1] 1460   81
test$SalePrice <- 0

all <- rbind(train,test) # joining train and test into one data frame

str(train)
## 'data.frame':    1460 obs. of  81 variables:
##  $ Id           : int  1 2 3 4 5 6 7 8 9 10 ...
##  $ MSSubClass   : int  60 20 60 70 60 50 20 60 50 190 ...
##  $ MSZoning     : Factor w/ 5 levels "C (all)","FV",..: 4 4 4 4 4 4 4 4 5 4 ...
##  $ LotFrontage  : int  65 80 68 60 84 85 75 NA 51 50 ...
##  $ LotArea      : int  8450 9600 11250 9550 14260 14115 10084 10382 6120 7420 ...
##  $ Street       : Factor w/ 2 levels "Grvl","Pave": 2 2 2 2 2 2 2 2 2 2 ...
##  $ Alley        : Factor w/ 2 levels "Grvl","Pave": NA NA NA NA NA NA NA NA NA NA ...
##  $ LotShape     : Factor w/ 4 levels "IR1","IR2","IR3",..: 4 4 1 1 1 1 4 1 4 4 ...
##  $ LandContour  : Factor w/ 4 levels "Bnk","HLS","Low",..: 4 4 4 4 4 4 4 4 4 4 ...
##  $ Utilities    : Factor w/ 2 levels "AllPub","NoSeWa": 1 1 1 1 1 1 1 1 1 1 ...
##  $ LotConfig    : Factor w/ 5 levels "Corner","CulDSac",..: 5 3 5 1 3 5 5 1 5 1 ...
##  $ LandSlope    : Factor w/ 3 levels "Gtl","Mod","Sev": 1 1 1 1 1 1 1 1 1 1 ...
##  $ Neighborhood : Factor w/ 25 levels "Blmngtn","Blueste",..: 6 25 6 7 14 12 21 17 18 4 ...
##  $ Condition1   : Factor w/ 9 levels "Artery","Feedr",..: 3 2 3 3 3 3 3 5 1 1 ...
##  $ Condition2   : Factor w/ 8 levels "Artery","Feedr",..: 3 3 3 3 3 3 3 3 3 1 ...
##  $ BldgType     : Factor w/ 5 levels "1Fam","2fmCon",..: 1 1 1 1 1 1 1 1 1 2 ...
##  $ HouseStyle   : Factor w/ 8 levels "1.5Fin","1.5Unf",..: 6 3 6 6 6 1 3 6 1 2 ...
##  $ OverallQual  : int  7 6 7 7 8 5 8 7 7 5 ...
##  $ OverallCond  : int  5 8 5 5 5 5 5 6 5 6 ...
##  $ YearBuilt    : int  2003 1976 2001 1915 2000 1993 2004 1973 1931 1939 ...
##  $ YearRemodAdd : int  2003 1976 2002 1970 2000 1995 2005 1973 1950 1950 ...
##  $ RoofStyle    : Factor w/ 6 levels "Flat","Gable",..: 2 2 2 2 2 2 2 2 2 2 ...
##  $ RoofMatl     : Factor w/ 8 levels "ClyTile","CompShg",..: 2 2 2 2 2 2 2 2 2 2 ...
##  $ Exterior1st  : Factor w/ 15 levels "AsbShng","AsphShn",..: 13 9 13 14 13 13 13 7 4 9 ...
##  $ Exterior2nd  : Factor w/ 16 levels "AsbShng","AsphShn",..: 14 9 14 16 14 14 14 7 16 9 ...
##  $ MasVnrType   : Factor w/ 4 levels "BrkCmn","BrkFace",..: 2 3 2 3 2 3 4 4 3 3 ...
##  $ MasVnrArea   : int  196 0 162 0 350 0 186 240 0 0 ...
##  $ ExterQual    : Factor w/ 4 levels "Ex","Fa","Gd",..: 3 4 3 4 3 4 3 4 4 4 ...
##  $ ExterCond    : Factor w/ 5 levels "Ex","Fa","Gd",..: 5 5 5 5 5 5 5 5 5 5 ...
##  $ Foundation   : Factor w/ 6 levels "BrkTil","CBlock",..: 3 2 3 1 3 6 3 2 1 1 ...
##  $ BsmtQual     : Factor w/ 4 levels "Ex","Fa","Gd",..: 3 3 3 4 3 3 1 3 4 4 ...
##  $ BsmtCond     : Factor w/ 4 levels "Fa","Gd","Po",..: 4 4 4 2 4 4 4 4 4 4 ...
##  $ BsmtExposure : Factor w/ 4 levels "Av","Gd","Mn",..: 4 2 3 4 1 4 1 3 4 4 ...
##  $ BsmtFinType1 : Factor w/ 6 levels "ALQ","BLQ","GLQ",..: 3 1 3 1 3 3 3 1 6 3 ...
##  $ BsmtFinSF1   : int  706 978 486 216 655 732 1369 859 0 851 ...
##  $ BsmtFinType2 : Factor w/ 6 levels "ALQ","BLQ","GLQ",..: 6 6 6 6 6 6 6 2 6 6 ...
##  $ BsmtFinSF2   : int  0 0 0 0 0 0 0 32 0 0 ...
##  $ BsmtUnfSF    : int  150 284 434 540 490 64 317 216 952 140 ...
##  $ TotalBsmtSF  : int  856 1262 920 756 1145 796 1686 1107 952 991 ...
##  $ Heating      : Factor w/ 6 levels "Floor","GasA",..: 2 2 2 2 2 2 2 2 2 2 ...
##  $ HeatingQC    : Factor w/ 5 levels "Ex","Fa","Gd",..: 1 1 1 3 1 1 1 1 3 1 ...
##  $ CentralAir   : Factor w/ 2 levels "N","Y": 2 2 2 2 2 2 2 2 2 2 ...
##  $ Electrical   : Factor w/ 5 levels "FuseA","FuseF",..: 5 5 5 5 5 5 5 5 2 5 ...
##  $ X1stFlrSF    : int  856 1262 920 961 1145 796 1694 1107 1022 1077 ...
##  $ X2ndFlrSF    : int  854 0 866 756 1053 566 0 983 752 0 ...
##  $ LowQualFinSF : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ GrLivArea    : int  1710 1262 1786 1717 2198 1362 1694 2090 1774 1077 ...
##  $ BsmtFullBath : int  1 0 1 1 1 1 1 1 0 1 ...
##  $ BsmtHalfBath : int  0 1 0 0 0 0 0 0 0 0 ...
##  $ FullBath     : int  2 2 2 1 2 1 2 2 2 1 ...
##  $ HalfBath     : int  1 0 1 0 1 1 0 1 0 0 ...
##  $ BedroomAbvGr : int  3 3 3 3 4 1 3 3 2 2 ...
##  $ KitchenAbvGr : int  1 1 1 1 1 1 1 1 2 2 ...
##  $ KitchenQual  : Factor w/ 4 levels "Ex","Fa","Gd",..: 3 4 3 3 3 4 3 4 4 4 ...
##  $ TotRmsAbvGrd : int  8 6 6 7 9 5 7 7 8 5 ...
##  $ Functional   : Factor w/ 7 levels "Maj1","Maj2",..: 7 7 7 7 7 7 7 7 3 7 ...
##  $ Fireplaces   : int  0 1 1 1 1 0 1 2 2 2 ...
##  $ FireplaceQu  : Factor w/ 5 levels "Ex","Fa","Gd",..: NA 5 5 3 5 NA 3 5 5 5 ...
##  $ GarageType   : Factor w/ 6 levels "2Types","Attchd",..: 2 2 2 6 2 2 2 2 6 2 ...
##  $ GarageYrBlt  : int  2003 1976 2001 1998 2000 1993 2004 1973 1931 1939 ...
##  $ GarageFinish : Factor w/ 3 levels "Fin","RFn","Unf": 2 2 2 3 2 3 2 2 3 2 ...
##  $ GarageCars   : int  2 2 2 3 3 2 2 2 2 1 ...
##  $ GarageArea   : int  548 460 608 642 836 480 636 484 468 205 ...
##  $ GarageQual   : Factor w/ 5 levels "Ex","Fa","Gd",..: 5 5 5 5 5 5 5 5 2 3 ...
##  $ GarageCond   : Factor w/ 5 levels "Ex","Fa","Gd",..: 5 5 5 5 5 5 5 5 5 5 ...
##  $ PavedDrive   : Factor w/ 3 levels "N","P","Y": 3 3 3 3 3 3 3 3 3 3 ...
##  $ WoodDeckSF   : int  0 298 0 0 192 40 255 235 90 0 ...
##  $ OpenPorchSF  : int  61 0 42 35 84 30 57 204 0 4 ...
##  $ EnclosedPorch: int  0 0 0 272 0 0 0 228 205 0 ...
##  $ X3SsnPorch   : int  0 0 0 0 0 320 0 0 0 0 ...
##  $ ScreenPorch  : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ PoolArea     : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ PoolQC       : Factor w/ 3 levels "Ex","Fa","Gd": NA NA NA NA NA NA NA NA NA NA ...
##  $ Fence        : Factor w/ 4 levels "GdPrv","GdWo",..: NA NA NA NA NA 3 NA NA NA NA ...
##  $ MiscFeature  : Factor w/ 4 levels "Gar2","Othr",..: NA NA NA NA NA 3 NA 3 NA NA ...
##  $ MiscVal      : int  0 0 0 0 0 700 0 350 0 0 ...
##  $ MoSold       : int  2 5 9 2 12 10 8 11 4 1 ...
##  $ YrSold       : int  2008 2007 2008 2006 2008 2009 2007 2009 2008 2008 ...
##  $ SaleType     : Factor w/ 9 levels "COD","Con","ConLD",..: 9 9 9 9 9 9 9 9 9 9 ...
##  $ SaleCondition: Factor w/ 6 levels "Abnorml","AdjLand",..: 5 5 5 1 5 5 5 5 1 5 ...
##  $ SalePrice    : int  208500 181500 223500 140000 250000 143000 307000 200000 129900 118000 ...

Preprocessing

factor.var = c()
for (i in 1:dim(all)[2]) {
  factor.var[i] = is.factor(all[,i])
} # identify what variables are factors

# Changing NA's in Numerical columns to the average of the column
sum(is.na(all[,!factor.var]))
## [1] 678
colMeans(all[,!factor.var])
##            Id    MSSubClass   LotFrontage       LotArea   OverallQual 
##  1.460000e+03  5.713772e+01            NA  1.016811e+04  6.089072e+00 
##   OverallCond     YearBuilt  YearRemodAdd    MasVnrArea    BsmtFinSF1 
##  5.564577e+00  1.971313e+03  1.984264e+03            NA            NA 
##    BsmtFinSF2     BsmtUnfSF   TotalBsmtSF     X1stFlrSF     X2ndFlrSF 
##            NA            NA            NA  1.159582e+03  3.364837e+02 
##  LowQualFinSF     GrLivArea  BsmtFullBath  BsmtHalfBath      FullBath 
##  4.694416e+00  1.500760e+03            NA            NA  1.568003e+00 
##      HalfBath  BedroomAbvGr  KitchenAbvGr  TotRmsAbvGrd    Fireplaces 
##  3.802672e-01  2.860226e+00  1.044536e+00  6.451524e+00  5.971223e-01 
##   GarageYrBlt    GarageCars    GarageArea    WoodDeckSF   OpenPorchSF 
##            NA            NA            NA  9.370983e+01  4.748681e+01 
## EnclosedPorch    X3SsnPorch   ScreenPorch      PoolArea       MiscVal 
##  2.309832e+01  2.602261e+00  1.606235e+01  2.251799e+00  5.082597e+01 
##        MoSold        YrSold     SalePrice 
##  6.213087e+00  2.007793e+03  9.049159e+04
# Removing NA Values and replacing them with the mean of the column
all$LotArea <- ifelse(is.na(all$LotArea), mean(LotArea, na.rm=TRUE), train$LotArea)

all$LotFrontage <- ifelse(is.na(all$LotFrontage), mean(all$LotFrontage, na.rm=TRUE), all$LotFrontage)

all$LotFrontage[which(is.na(all$LotFrontage))] <- mean(all$LotFrontage, na.rm=T)

all$MasVnrArea[which(is.na(all$MasVnrArea))] <- mean(all$MasVnrArea, na.rm = T)

all$GarageYrBlt[which(is.na(all$GarageYrBlt))] <- mean(all$GarageYrBlt, na.rm = T)

all$MasVnrArea[which(is.na(all$MasVnrArea))] <- mean(all$MasVnrArea, na.rm=T)

all$BsmtFinSF1[which(is.na(all$BsmtFinSF1))] <- mean(all$BsmtFinSF1, na.rm=T)

all$BsmtFinSF2[which(is.na(all$BsmtFinSF2))] <- mean(all$BsmtFinSF2, na.rm=T)

all$BsmtUnfSF[which(is.na(all$BsmtUnfSF))] <- mean(all$BsmtUnfSF, na.rm=T)
all$TotalBsmtSF[which(is.na(all$TotalBsmtSF))] <- mean(all$TotalBsmtSF, na.rm=T)
all$BsmtFullBath[which(is.na(all$BsmtFullBath))] <- mean(all$BsmtFullBath, na.rm=T)

all$BsmtHalfBath[which(is.na(all$BsmtHalfBath))] <- mean(all$BsmtHalfBath, na.rm=T)

all$GarageArea[which(is.na(all$GarageArea))] <- mean(all$GarageArea, na.rm=T)
all$GarageCars[which(is.na(all$GarageCars))] <- mean(all$GarageCars, na.rm=T)

# Zero NA Values remain in numerical variables
sum(is.na(all[,!factor.var]))
## [1] 0
sum(is.na(all[,factor.var]))
## [1] 13287
categorical.index <- c(3,7,10,24,25,26,33,43,54,56,59,75,79)
for (i in categorical.index){
  all[is.na(all[,i]),i] <- names(which.max(table(all[,i])))
}
# what vairables that are in this for loop do NOT include in the next code chunk

sum(is.na(all[,factor.var]))
## [1] 7476
# Categorical-Numerical Cleaning for KNN # 

# Exterior Qual & Cond
all$ExterQual = as.numeric(all$ExterQual)-1
all$ExterCond = as.numeric(all$ExterCond)-1

# Bsmt
# transferring all NA Values for BsmtQual into 'None' Values
all$BsmtQual <- factor(all$BsmtQual, levels = c(levels(all$BsmtQual), NA), labels = c(levels(all$BsmtQual), 'None'), exclude = NULL) 
all$BsmtQual <- as.numeric(all$BsmtQual)-1

all$BsmtCond <- factor(all$BsmtCond, levels = c(levels(all$BsmtCond), NA), labels = c(levels(all$BsmtCond), 'None'), exclude = NULL) 
all$BsmtCond <- as.numeric(all$BsmtCond)-1

all$BsmtFinType1 <- factor(all$BsmtFinType1, levels = c(levels(all$BsmtFinType1), NA), labels = c(levels(all$BsmtFinType1), 'None'), exclude = NULL) 
all$BsmtFinType1 <- as.numeric(all$BsmtFinType1)-1

all$BsmtFinType2 <- factor(all$BsmtFinType2, levels = c(levels(all$BsmtFinType2), NA), labels = c(levels(all$BsmtFinType2), 'None'), exclude = NULL) 
all$BsmtFinType2 <- as.numeric(all$BsmtFinType2)-1

all$Fence <- factor(all$Fence, levels = c(levels(all$Fence), NA), labels = c(levels(all$Fence), 'None'), exclude = NULL) 
all$Fence <- as.numeric(all$Fence)-1

# Garage Finish, Qual, Cond
all$GarageFinish <- factor(all$GarageFinish, levels = c(levels(all$GarageFinish), NA), labels = c(levels(all$GarageFinish), 'None'), exclude = NULL)
all$GarageFinish <- as.numeric(all$GarageFinish)-1

all$GarageQual <- factor(all$GarageQual, levels = c(levels(all$GarageQual), NA), labels = c(levels(all$GarageQual), 'None'), exclude = NULL)
all$GarageQual <- as.numeric(all$GarageQual)-1

all$GarageCond <- factor(all$GarageCond, levels = c(levels(all$GarageCond), NA), labels = c(levels(all$GarageCond), 'None'), exclude = NULL)
all$GarageCond <- as.numeric(all$GarageCond)-1

#HeatingQC
all$HeatingQC <- factor(all$HeatingQC, levels = c(levels(all$HeatingQC), NA), labels = c(levels(all$HeatingQC), 'None'), exclude = NULL)
all$HeatingQC <- as.numeric(all$HeatingQC)-1

# Pool 
all$PoolQC <- factor(all$PoolQC, levels = c(levels(all$PoolQC), NA), labels = c(levels(all$PoolQC), 'None'), exclude = NULL) 
all$PoolQC <- as.numeric(all$PoolQC)-1

#FireplaceQu
all$FireplaceQu <- factor(all$FireplaceQu, levels = c(levels(all$FireplaceQu), NA), labels = c(levels(all$FireplaceQu), 'None'), exclude = NULL) 
all$FireplaceQu <- as.numeric(all$FireplaceQu)-1

# Central Air
all$CentralAir <- factor(all$CentralAir, levels = c(levels(all$CentralAir), NA), labels = c(levels(all$CentralAir), exclude = NULL))
all$CentralAir <- as.numeric(all$CentralAir)-1

# Kitchen Quality
levels(all$KitchenQual) <- contrasts(all$KitchenQual)[,1]
all$KitchenQual <- as.numeric(all$KitchenQual)-1

sum(is.na(all[,!factor.var]))
## [1] 0
sum(is.na(all[,factor.var]))
## [1] 0
# Convert into matrix to reduce 
all <- all[,-1]
all <- model.matrix(SalePrice~., data = all)[,-1]

#seperate train and test
# combine train and test and then perform preprocessing 
# then seperate train from test 
train_knn_actual <- all[1:1460,]
test_knn <- all[1461:nrow(all),]
sum(is.na(train_knn_actual))
## [1] 0
sum(is.na(test_knn))
## [1] 0

KNN

library(FNN)
#y_knn <- train_knn_actual$Neighborhood
n_knn <- dim(train_knn_actual)[1]
train_knn2 <- as.matrix(train_knn_actual)

knn_error <- rep(NA, n_knn)
price <- train$SalePrice

for (i in (1:n_knn)){
  knn_proj <- knn.reg(train_knn2[-i,], train_knn2[i,], y = price[-i], k=1)
  knn_error[i] <- as.numeric(price[i] - knn_proj$pred)^2
}
knn_error1 <- knn_error
sqrt(mean(knn_error1))
## [1] 55777.68
for (i in (1:n_knn)){
  knn_proj <- knn.reg(train_knn2[-i,], train_knn2[i,], y = train_knn$SalePrice[-i], k=5)
  knn_error[i] <- as.numeric(price[i] - knn_proj$pred)^2
}
knn_error2 <- knn_error
sqrt(mean(knn_error2)) #estimated test error #
## [1] 46177.47
for (i in (1:n_knn)){
  knn_proj <- knn.reg(train_knn2[-i,], train_knn2[i,], y = train_knn$SalePrice[-i], k=10)
  knn_error[i] <- as.numeric(price[i] - knn_proj$pred)^2
}
knn_error3 <- knn_error
sqrt(mean(knn_error3)) 
## [1] 46183.97
for (i in (1:n_knn)){
  knn_proj <- knn.reg(train_knn2[-i,], train_knn2[i,], y = train_knn$SalePrice[-i], k=100)
  knn_error[i] <- as.numeric(price[i] - knn_proj$pred)^2
}
knn_error4 <- knn_error
sqrt(mean(knn_error4)) 
## [1] 57136.44
# Prediction Knn
# use knn function, with training and test with best choice for k, plug result into kaggle to get error 
n_pred <- dim(all)[1]
library(FNN)

knn_pred <- knn.reg(train_knn2, test_knn, y = price, k=5)
#knn_pred
knn_csv <- knn_pred$pred
knn_csv <- cbind("Id"=1461:2919, "SalePrice" = knn_csv)
write.csv(knn_csv, file = "knn_pred_midterm.csv", row.names = FALSE)
KNN Prediction

KNN Prediction

Linear Regression

In order to complete linear regression, the residual diagnostics must all be thoroughly checked.

par(mfrow=c(2,2))
train_linear2 <- data.frame(train_knn_actual)
test_linear <- data.frame(test_knn)
#test_linear[1460,] <- 0

# Step 1: Residual Plot
fit_lm <- lm(price~., data = train_linear2) #linear regression
lm_mse <- mean(fit_lm$residuals^2) #Mean Squared Error
coef(fit_lm) # coefficients
##          (Intercept)           MSSubClass           MSZoningFV 
##        -1.484002e+06        -3.608527e+01         2.892992e+04 
##           MSZoningRH           MSZoningRL           MSZoningRM 
##         2.731238e+04         2.749108e+04         2.411087e+04 
##          LotFrontage              LotArea           StreetPave 
##         4.861592e+01         6.275932e-01         3.575051e+04 
##            AlleyPave          LotShapeIR2          LotShapeIR3 
##         6.299948e+02         7.870857e+03         9.924798e+02 
##          LotShapeReg       LandContourHLS       LandContourLow 
##         1.772765e+03         1.024827e+04        -9.349375e+03 
##       LandContourLvl      UtilitiesNoSeWa     LotConfigCulDSac 
##         6.672983e+03        -3.376681e+04         8.268501e+03 
##         LotConfigFR2         LotConfigFR3      LotConfigInside 
##        -5.895718e+03        -9.070388e+03        -5.057491e+02 
##         LandSlopeMod         LandSlopeSev  NeighborhoodBlueste 
##         4.430160e+03        -2.922917e+04         6.263705e+03 
##   NeighborhoodBrDale  NeighborhoodBrkSide  NeighborhoodClearCr 
##         1.104258e+04        -1.609306e+03        -1.203946e+04 
##  NeighborhoodCollgCr  NeighborhoodCrawfor  NeighborhoodEdwards 
##        -1.244356e+04         8.244857e+03        -1.556711e+04 
##  NeighborhoodGilbert   NeighborhoodIDOTRR  NeighborhoodMeadowV 
##        -1.387111e+04        -6.157616e+03        -2.574671e+03 
##  NeighborhoodMitchel    NeighborhoodNAmes  NeighborhoodNoRidge 
##        -1.639694e+04        -1.321949e+04         1.996883e+04 
##  NeighborhoodNPkVill  NeighborhoodNridgHt   NeighborhoodNWAmes 
##         1.165662e+04         2.557058e+04        -1.759739e+04 
##  NeighborhoodOldTown   NeighborhoodSawyer  NeighborhoodSawyerW 
##        -1.144266e+04        -6.327393e+03        -7.609745e+03 
##  NeighborhoodSomerst  NeighborhoodStoneBr    NeighborhoodSWISU 
##        -1.403730e+03         3.954461e+04        -8.509820e+03 
##   NeighborhoodTimber  NeighborhoodVeenker      Condition1Feedr 
##        -1.045239e+04        -4.618176e+03         3.773339e+03 
##       Condition1Norm       Condition1PosA       Condition1PosN 
##         1.381784e+04         8.892960e+03         1.066977e+04 
##       Condition1RRAe       Condition1RRAn       Condition1RRNe 
##        -1.563657e+04         1.162806e+04        -6.522861e+03 
##       Condition1RRNn      Condition2Feedr       Condition2Norm 
##         5.682228e+03        -1.765511e+04        -1.099199e+04 
##       Condition2PosA       Condition2PosN       Condition2RRAe 
##         3.051823e+04        -2.359131e+05        -1.191903e+05 
##       Condition2RRAn       Condition2RRNn       BldgType2fmCon 
##        -7.058951e+03        -6.278030e+03        -4.552325e+03 
##       BldgTypeDuplex        BldgTypeTwnhs       BldgTypeTwnhsE 
##        -4.269773e+03        -2.601818e+04        -2.126280e+04 
##     HouseStyle1.5Unf     HouseStyle1Story     HouseStyle2.5Fin 
##         1.351182e+04         9.301008e+03        -1.682327e+04 
##     HouseStyle2.5Unf     HouseStyle2Story     HouseStyleSFoyer 
##        -9.932453e+03        -5.508258e+03         7.870577e+02 
##       HouseStyleSLvl          OverallQual          OverallCond 
##         4.935022e+03         7.447847e+03         5.395882e+03 
##            YearBuilt         YearRemodAdd       RoofStyleGable 
##         2.453574e+02         7.937254e+01        -3.577244e+02 
##     RoofStyleGambrel         RoofStyleHip     RoofStyleMansard 
##         3.000835e+03         2.088292e+03         1.320442e+04 
##        RoofStyleShed      RoofMatlCompShg      RoofMatlMembran 
##         8.332675e+04         6.442739e+05         7.170764e+05 
##        RoofMatlMetal         RoofMatlRoll      RoofMatlTar.Grv 
##         6.883194e+05         6.298587e+05         6.401252e+05 
##      RoofMatlWdShake      RoofMatlWdShngl   Exterior1stAsphShn 
##         6.120443e+05         7.190898e+05        -1.487996e+04 
##   Exterior1stBrkComm   Exterior1stBrkFace    Exterior1stCBlock 
##        -1.196457e+04         4.107697e+03        -2.083059e+04 
##   Exterior1stCemntBd   Exterior1stHdBoard   Exterior1stImStucc 
##        -1.326724e+04        -1.567823e+04        -4.620988e+04 
##   Exterior1stMetalSd   Exterior1stPlywood     Exterior1stStone 
##        -8.403358e+03        -1.842771e+04         6.430564e+03 
##    Exterior1stStucco   Exterior1stVinylSd   Exterior1stWd.Sdng 
##        -8.549836e+03        -1.834568e+04        -1.616129e+04 
##   Exterior1stWdShing   Exterior2ndAsphShn   Exterior2ndBrk.Cmn 
##        -8.479458e+03         9.690189e+03         1.740946e+04 
##   Exterior2ndBrkFace    Exterior2ndCBlock   Exterior2ndCmentBd 
##         6.677504e+03                   NA         1.849523e+04 
##   Exterior2ndHdBoard   Exterior2ndImStucc   Exterior2ndMetalSd 
##         9.494672e+03         2.850790e+04         8.166324e+03 
##     Exterior2ndOther   Exterior2ndPlywood     Exterior2ndStone 
##        -2.334466e+04         1.002840e+04        -9.628482e+02 
##    Exterior2ndStucco   Exterior2ndVinylSd   Exterior2ndWd.Sdng 
##         4.503541e+03         1.478551e+04         1.251206e+04 
##   Exterior2ndWd.Shng    MasVnrTypeBrkFace       MasVnrTypeNone 
##         5.131118e+03         6.923108e+03         1.252417e+04 
##      MasVnrTypeStone           MasVnrArea            ExterQual 
##         1.262539e+04         2.664219e+01        -9.185168e+03 
##            ExterCond     FoundationCBlock      FoundationPConc 
##         4.617981e+02         3.015346e+03         2.799758e+03 
##       FoundationSlab      FoundationStone       FoundationWood 
##         1.298622e+04        -3.765124e+02        -3.333693e+04 
##             BsmtQual             BsmtCond       BsmtExposureGd 
##        -6.250551e+03         1.538774e+03         1.398749e+04 
##       BsmtExposureMn       BsmtExposureNo         BsmtFinType1 
##        -5.236049e+03        -6.752251e+03         5.002453e+02 
##           BsmtFinSF1         BsmtFinType2           BsmtFinSF2 
##         3.313015e+01         3.928547e+02         2.212413e+01 
##            BsmtUnfSF          TotalBsmtSF          HeatingGasA 
##         1.175068e+01                   NA        -1.348059e+04 
##          HeatingGasW          HeatingGrav          HeatingOthW 
##        -1.789728e+04        -1.982961e+04        -4.899959e+04 
##          HeatingWall            HeatingQC           CentralAir 
##        -6.172085e+03        -7.781364e+02        -1.607746e+03 
##      ElectricalFuseF      ElectricalFuseP        ElectricalMix 
##        -8.739560e+02        -1.276236e+04        -2.520091e+03 
##      ElectricalSBrkr            X1stFlrSF            X2ndFlrSF 
##        -2.365700e+03         5.120380e+01         6.500751e+01 
##         LowQualFinSF            GrLivArea         BsmtFullBath 
##         2.429324e+01                   NA         1.252990e+03 
##         BsmtHalfBath             FullBath             HalfBath 
##        -8.847799e+02         1.311402e+03         1.382177e+03 
##         BedroomAbvGr         KitchenAbvGr          KitchenQual 
##        -5.204909e+03        -1.428945e+04         4.309891e+03 
##         TotRmsAbvGrd       FunctionalMaj2       FunctionalMin1 
##         2.811432e+03        -4.213998e+03         5.520301e+03 
##       FunctionalMin2        FunctionalMod        FunctionalSev 
##         1.006086e+04        -2.163460e+03        -4.360019e+04 
##        FunctionalTyp           Fireplaces          FireplaceQu 
##         2.069686e+04         4.408029e+03         9.268169e+02 
##     GarageTypeAttchd    GarageTypeBasment    GarageTypeBuiltIn 
##         8.660299e+03         1.196308e+04         9.416257e+03 
##    GarageTypeCarPort     GarageTypeDetchd          GarageYrBlt 
##         9.101827e+03         1.243398e+04         4.623178e+01 
##         GarageFinish           GarageCars           GarageArea 
##         5.910287e+02         2.966854e+03         1.398401e+01 
##           GarageQual           GarageCond          PavedDriveP 
##         7.067648e+02         1.552342e+03        -3.144683e+03 
##          PavedDriveY           WoodDeckSF          OpenPorchSF 
##        -1.265625e+03         9.940060e+00         1.138560e+01 
##        EnclosedPorch           X3SsnPorch          ScreenPorch 
##        -2.902379e+00         3.496263e+01         4.137241e+01 
##             PoolArea               PoolQC                Fence 
##         3.160946e+01        -2.352401e+04         4.506127e+02 
##      MiscFeatureOthr      MiscFeatureShed      MiscFeatureTenC 
##         2.456895e+04         2.496417e+04        -7.371091e+04 
##              MiscVal               MoSold               YrSold 
##         1.542723e+00        -5.375319e+02         3.056169e+01 
##          SaleTypeCon        SaleTypeConLD        SaleTypeConLI 
##         3.346400e+04         1.646560e+04         6.225294e+03 
##        SaleTypeConLw          SaleTypeCWD          SaleTypeNew 
##         3.771646e+03         2.112341e+04         2.345730e+04 
##          SaleTypeOth           SaleTypeWD SaleConditionAdjLand 
##         1.013583e+04         2.074627e+03         1.099767e+04 
##  SaleConditionAlloca  SaleConditionFamily  SaleConditionNormal 
##         1.694659e+03        -2.585602e+03         4.673864e+03 
## SaleConditionPartial 
##         5.196040e+02
#par(mfrow=c(2,2))
plot(fit_lm)
## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387
## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

# Log Transformation
par(mfrow=c(2,2))
fit_lm_log <- lm((log(price))~., data=train_linear2)
plot(fit_lm_log)
## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387
## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

# Square Root Transformation
fit_lm_sqrt <- lm((sqrt(price))~., data=train_linear2)
plot(fit_lm_sqrt)
## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced
## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

# Squared Transformation
fit_lm_squared <- lm((price^2)~., data=train_linear2)
plot(fit_lm_squared)
## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

Comments: Step 1: Non-Linearity

For non-linearity we need to analyze the “Residuals vs Fitted” plot. To illustrate the fit my data has the red line needs to be as flush with the 0.0 dotted line in the plot. In the base fit_lm plot the fit is skewed. To correct this, I plotted the log, sqrt, and squared variations of the fit_lm. The best fit plot is the fit_lm_log.

# Step 3
plot(fit_lm_log$residuals, xlab = "Fitted Values", ylab = "Residuals")

# Step 4,5 #
# Identify Large Leverage Points, Outliers
par(mfrow=c(2,2))
plot(fit_lm) # plotting commands
## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387
## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

#plot(hatvalues(fit_lm), ylim = c(0,0.6)) #identifying largest leverage statistic
#which.max(hatvalues(fit_lm)) 

# removing large leverage and large residuals
HighLeverage <- cooks.distance(fit_lm_log) > (80/nrow(train_linear2))
LargeResiduals <- rstudent(fit_lm_log) > 3
train_linear1 <- train_linear2[!HighLeverage & !LargeResiduals,]
confint(fit_lm_log) # 95% confindence interval
##                              2.5 %        97.5 %
## (Intercept)          -3.712291e+00  1.494504e+01
## MSSubClass           -1.103156e-03  3.633090e-04
## MSZoningFV            3.259795e-01  5.406192e-01
## MSZoningRH            3.165310e-01  5.301877e-01
## MSZoningRL            3.333163e-01  5.151147e-01
## MSZoningRM            2.974633e-01  4.679347e-01
## LotFrontage           4.845828e-05  8.366000e-04
## LotArea               1.479998e-06  3.369784e-06
## StreetPave           -7.468058e-03  1.981514e-01
## AlleyPave            -1.731631e-02  6.759933e-02
## LotShapeIR2          -3.100414e-03  7.157232e-02
## LotShapeIR3          -7.009947e-02  8.887760e-02
## LotShapeReg          -8.408913e-03  2.035864e-02
## LandContourHLS       -1.608142e-02  7.559808e-02
## LandContourLow       -6.822884e-02  4.432696e-02
## LandContourLvl       -4.526369e-03  6.114895e-02
## UtilitiesNoSeWa      -4.550065e-01  1.677540e-02
## LotConfigCulDSac      3.614095e-04  5.974484e-02
## LotConfigFR2         -6.694707e-02  5.450952e-03
## LotConfigFR3         -1.980007e-01  2.852516e-02
## LotConfigInside      -2.606380e-02  5.777587e-03
## LandSlopeMod         -8.538141e-03  6.230454e-02
## LandSlopeSev         -2.380525e-01 -4.615029e-02
## NeighborhoodBlueste  -1.876478e-01  1.514797e-01
## NeighborhoodBrDale   -1.442863e-01  5.172376e-02
## NeighborhoodBrkSide  -7.583041e-02  9.257567e-02
## NeighborhoodClearCr  -6.468402e-02  1.000277e-01
## NeighborhoodCollgCr  -8.298258e-02  4.646912e-02
## NeighborhoodCrawfor   2.563194e-02  1.789570e-01
## NeighborhoodEdwards  -1.505859e-01 -7.398376e-03
## NeighborhoodGilbert  -8.691560e-02  5.074561e-02
## NeighborhoodIDOTRR   -1.246432e-01  6.654462e-02
## NeighborhoodMeadowV  -2.627564e-01 -6.127059e-02
## NeighborhoodMitchel  -1.257496e-01  1.984357e-02
## NeighborhoodNAmes    -1.078191e-01  3.163442e-02
## NeighborhoodNoRidge  -5.029528e-02  1.003733e-01
## NeighborhoodNPkVill  -1.301336e-01  1.201494e-01
## NeighborhoodNridgHt   2.104186e-02  1.542093e-01
## NeighborhoodNWAmes   -1.125343e-01  3.073448e-02
## NeighborhoodOldTown  -1.366708e-01  3.480066e-02
## NeighborhoodSawyer   -9.424928e-02  5.106815e-02
## NeighborhoodSawyerW  -7.735744e-02  6.158605e-02
## NeighborhoodSomerst  -5.773924e-02  1.040355e-01
## NeighborhoodStoneBr   6.271632e-02  2.116456e-01
## NeighborhoodSWISU    -9.359762e-02  8.020732e-02
## NeighborhoodTimber   -7.139547e-02  7.450278e-02
## NeighborhoodVeenker  -5.298610e-02  1.348091e-01
## Condition1Feedr      -2.295743e-02  6.546205e-02
## Condition1Norm        3.841725e-02  1.120100e-01
## Condition1PosA       -6.022096e-02  1.190484e-01
## Condition1PosN        1.040043e-02  1.425627e-01
## Condition1RRAe       -1.332459e-01  2.330466e-02
## Condition1RRAn       -8.777978e-03  1.145251e-01
## Condition1RRNe       -1.560005e-01  1.602404e-01
## Condition1RRNn       -3.823818e-02  1.922100e-01
## Condition2Feedr      -1.008672e-01  3.107328e-01
## Condition2Norm       -1.179266e-01  2.367843e-01
## Condition2PosA       -2.211352e-02  5.743778e-01
## Condition2PosN       -1.063191e+00 -5.747835e-01
## Condition2RRAe       -1.069064e+00 -5.227752e-02
## Condition2RRAn       -3.013428e-01  2.563422e-01
## Condition2RRNn       -2.223514e-01  2.539780e-01
## BldgType2fmCon       -6.842988e-02  1.510164e-01
## BldgTypeDuplex       -6.618664e-02  6.465588e-02
## BldgTypeTwnhs        -1.393908e-01  3.873677e-02
## BldgTypeTwnhsE       -9.111596e-02  6.898430e-02
## HouseStyle1.5Unf     -4.592777e-02  8.839855e-02
## HouseStyle1Story     -5.746661e-02  1.979571e-02
## HouseStyle2.5Fin     -1.971980e-01  2.058565e-02
## HouseStyle2.5Unf     -3.330588e-02  1.296275e-01
## HouseStyle2Story     -4.981081e-02  1.180291e-02
## HouseStyleSFoyer     -5.899697e-02  5.092920e-02
## HouseStyleSLvl       -4.092256e-02  5.637850e-02
## OverallQual           3.652772e-02  5.416349e-02
## OverallCond           3.055814e-02  4.532541e-02
## YearBuilt             1.101273e-03  2.425914e-03
## YearRemodAdd          3.501610e-04  1.300892e-03
## RoofStyleGable       -1.865159e-01  1.417253e-01
## RoofStyleGambrel     -1.911608e-01  1.661390e-01
## RoofStyleHip         -1.808892e-01  1.484196e-01
## RoofStyleMansard     -1.724393e-01  2.086547e-01
## RoofStyleShed         7.024021e-02  6.848967e-01
## RoofMatlCompShg       2.451149e+00  3.063080e+00
## RoofMatlMembran       2.683068e+00  3.537979e+00
## RoofMatlMetal         2.520729e+00  3.369245e+00
## RoofMatlRoll          2.398293e+00  3.150260e+00
## RoofMatlTar.Grv       2.408411e+00  3.096774e+00
## RoofMatlWdShake       2.334197e+00  3.007735e+00
## RoofMatlWdShngl       2.549171e+00  3.181690e+00
## Exterior1stAsphShn   -3.049707e-01  2.859151e-01
## Exterior1stBrkComm   -4.777324e-01  1.855057e-02
## Exterior1stBrkFace   -3.718062e-02  1.895012e-01
## Exterior1stCBlock    -2.985190e-01  1.563918e-01
## Exterior1stCemntBd   -2.500785e-01  9.169735e-02
## Exterior1stHdBoard   -1.256215e-01  1.037505e-01
## Exterior1stImStucc   -2.690931e-01  2.320283e-01
## Exterior1stMetalSd   -9.445987e-02  1.652761e-01
## Exterior1stPlywood   -1.229931e-01  1.041177e-01
## Exterior1stStone     -1.520985e-01  2.725709e-01
## Exterior1stStucco    -1.069094e-01  1.448802e-01
## Exterior1stVinylSd   -1.219580e-01  1.154521e-01
## Exterior1stWd.Sdng   -1.479612e-01  7.066072e-02
## Exterior1stWdShing   -1.162594e-01  1.209135e-01
## Exterior2ndAsphShn   -1.579989e-01  2.378368e-01
## Exterior2ndBrk.Cmn   -1.196268e-01  2.389681e-01
## Exterior2ndBrkFace   -1.355715e-01  9.776739e-02
## Exterior2ndCBlock               NA            NA
## Exterior2ndCmentBd   -3.011846e-02  3.056742e-01
## Exterior2ndHdBoard   -8.886482e-02  1.302053e-01
## Exterior2ndImStucc   -7.647082e-02  1.775656e-01
## Exterior2ndMetalSd   -1.200572e-01  1.323753e-01
## Exterior2ndOther     -3.430613e-01  1.461406e-01
## Exterior2ndPlywood   -8.168042e-02  1.309217e-01
## Exterior2ndStone     -1.758768e-01  1.276442e-01
## Exterior2ndStucco    -1.072233e-01  1.354066e-01
## Exterior2ndVinylSd   -7.836825e-02  1.494616e-01
## Exterior2ndWd.Sdng   -4.674562e-02  1.635599e-01
## Exterior2ndWd.Shng   -9.504045e-02  1.259156e-01
## MasVnrTypeBrkFace    -2.707408e-02  9.452196e-02
## MasVnrTypeNone       -3.406732e-02  8.852422e-02
## MasVnrTypeStone      -2.037584e-02  1.082145e-01
## MasVnrArea           -4.570582e-05  5.744626e-05
## ExterQual            -1.825365e-02  9.111908e-03
## ExterCond            -6.626569e-04  1.708239e-02
## FoundationCBlock     -9.808186e-03  4.607514e-02
## FoundationPConc       8.567982e-03  6.952856e-02
## FoundationSlab       -7.552620e-02  6.815918e-02
## FoundationStone       1.354866e-02  2.095061e-01
## FoundationWood       -2.679442e-01 -2.851287e-03
## BsmtQual             -2.140356e-02 -6.849026e-04
## BsmtCond             -5.401573e-03  1.356600e-02
## BsmtExposureGd        3.077301e-03  5.639569e-02
## BsmtExposureMn       -3.768533e-02  1.641978e-02
## BsmtExposureNo       -3.346214e-02  5.572025e-03
## BsmtFinType1         -6.279905e-03  2.688550e-03
## BsmtFinSF1            9.847830e-05  1.789338e-04
## BsmtFinType2         -4.165337e-03  1.461756e-02
## BsmtFinSF2            5.775884e-05  1.892765e-04
## BsmtUnfSF             3.767550e-05  1.089015e-04
## TotalBsmtSF                     NA            NA
## HeatingGasA          -1.180039e-01  3.273266e-01
## HeatingGasW          -5.972308e-02  3.999858e-01
## HeatingGrav          -3.046312e-01  1.738636e-01
## HeatingOthW          -2.281238e-01  3.228615e-01
## HeatingWall          -7.774437e-02  4.370009e-01
## HeatingQC            -1.251438e-02 -3.591896e-03
## CentralAir            2.876986e-02  9.665959e-02
## ElectricalFuseF      -6.456303e-02  3.796114e-02
## ElectricalFuseP      -2.284573e-01  7.490601e-02
## ElectricalMix        -1.696435e-01  3.229333e-01
## ElectricalSBrkr      -4.523830e-02  7.236581e-03
## X1stFlrSF             1.910313e-04  2.845399e-04
## X2ndFlrSF             1.832004e-04  2.828719e-04
## LowQualFinSF          8.987660e-05  4.215024e-04
## GrLivArea                       NA            NA
## BsmtFullBath          1.151570e-02  4.586204e-02
## BsmtHalfBath         -1.997947e-02  3.403449e-02
## FullBath             -2.568034e-03  3.658239e-02
## HalfBath              3.520406e-03  4.078035e-02
## BedroomAbvGr         -1.109666e-02  1.315271e-02
## KitchenAbvGr         -8.797630e-02  1.202325e-02
## KitchenQual          -3.433112e-02  5.029740e-02
## TotRmsAbvGrd         -1.655035e-03  1.535925e-02
## FunctionalMaj2       -3.876219e-01 -1.331426e-01
## FunctionalMin1       -4.743405e-02  1.016879e-01
## FunctionalMin2       -5.466109e-02  9.427348e-02
## FunctionalMod        -1.583766e-01  2.175366e-02
## FunctionalSev        -5.575157e-01 -3.727273e-02
## FunctionalTyp        -3.423920e-03  1.247815e-01
## Fireplaces            7.274893e-03  3.863358e-02
## FireplaceQu          -7.450332e-03  5.903343e-03
## GarageTypeAttchd      6.642334e-03  2.021473e-01
## GarageTypeBasment    -9.906275e-03  2.159980e-01
## GarageTypeBuiltIn    -1.338682e-02  1.904579e-01
## GarageTypeCarPort    -1.678229e-02  2.427983e-01
## GarageTypeDetchd      8.280431e-03  2.028049e-01
## GarageYrBlt          -7.649514e-04  2.551565e-04
## GarageFinish         -1.769424e-02  2.692129e-03
## GarageCars           -1.185721e-03  3.803972e-02
## GarageArea            7.517240e-05  2.124660e-04
## GarageQual           -1.050061e-02  1.414333e-02
## GarageCond           -8.975687e-03  1.932252e-02
## PavedDriveP          -4.243037e-02  5.282621e-02
## PavedDriveY          -1.164325e-02  4.848378e-02
## WoodDeckSF            3.468518e-05  1.392086e-04
## OpenPorchSF          -3.740914e-05  1.678511e-04
## EnclosedPorch         1.308103e-05  2.346339e-04
## X3SsnPorch           -2.414905e-05  3.776160e-04
## ScreenPorch           1.849020e-04  4.071382e-04
## PoolArea              2.025619e-04  9.073509e-04
## PoolQC                8.473782e-03  2.116443e-01
## Fence                -1.693774e-03  1.038569e-02
## MiscFeatureOthr      -8.135513e-01  3.356753e-01
## MiscFeatureShed      -7.873165e-01  4.024053e-01
## MiscFeatureTenC      -1.011656e+00  1.554860e-01
## MiscVal              -4.537478e-05  2.653957e-05
## MoSold               -2.969453e-03  1.411151e-03
## YrSold               -6.262343e-03  2.899983e-03
## SaleTypeCon          -5.337998e-02  2.639561e-01
## SaleTypeConLD         4.126288e-02  2.142510e-01
## SaleTypeConLI        -1.202863e-01  8.651021e-02
## SaleTypeConLw        -8.929464e-02  1.249108e-01
## SaleTypeCWD          -3.418836e-02  1.964323e-01
## SaleTypeNew          -5.494619e-02  2.223496e-01
## SaleTypeOth          -6.075586e-02  1.985939e-01
## SaleTypeWD           -4.843250e-02  2.645337e-02
## SaleConditionAdjLand -2.368871e-02  2.349029e-01
## SaleConditionAlloca  -3.825831e-02  1.170766e-01
## SaleConditionFamily  -4.736327e-02  6.239089e-02
## SaleConditionNormal   3.350161e-02  8.536471e-02
## SaleConditionPartial -1.210060e-01  1.459261e-01
# removing high leverage in price
price1 <- price[!HighLeverage & !LargeResiduals]

#7: Normality

plot(fit_lm_log)
## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning: not plotting observations with leverage one:
##   121, 272, 347, 584, 596, 667, 945, 1004, 1012, 1188, 1231, 1271, 1276, 1299, 1322, 1371, 1387

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced
## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

True Test Error

# Prediction
#Implementing New Linear Regression
library(boot)

new_fit_lm <- lm(log(price)~., data = train_linear2)
lm_prediction <- exp(predict(new_fit_lm,  test_linear)) #this yields the true test error, plug into kaggle to get score
## Warning in predict.lm(new_fit_lm, test_linear): prediction from a rank-
## deficient fit may be misleading
lm_csv <- cbind("Id"=1461:2919, "SalePrice" = lm_prediction)
write.csv(lm_csv, file = "lm.csv", row.names = FALSE)
Linear Regression Prediction

Linear Regression Prediction

Linear Regression Prediction Comments:

Although linear regression is a simple method, it is very important. My response in the prediction is the SalePrice. This is what I want to caluclate and gauge my error. My prediction for Linear Regression is one of the best in my report with 0.14058.

Estimated Test Error: Linear Regression

# use hw3 cv.glm to check for estimated test error.
train_linear3 <- cbind(train_linear2, price)
linear_control <- trainControl(method="cv", number = 10)
lm_fit2 <- train(log(price)~., data = train_linear3, method="lm", trControl = linear_control)
## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading
print(lm_fit2)
## Linear Regression 
## 
## 1460 samples
##  210 predictor
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 1315, 1313, 1315, 1313, 1315, 1314, ... 
## Resampling results:
## 
##   RMSE       Rsquared   MAE       
##   0.1911088  0.7909613  0.09352571
## 
## Tuning parameter 'intercept' was held constant at a value of TRUE

Subset Selection

library(ISLR)
library(leaps)

train_best <- regsubsets(price~., data = data.frame(train_knn_actual), nvmax = 3, really.big = T)
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
train_best_summary <- summary(train_best)
head(train_best_summary)
## $which
##   (Intercept) MSSubClass MSZoningFV MSZoningRH MSZoningRL MSZoningRM
## 1        TRUE      FALSE      FALSE      FALSE      FALSE      FALSE
## 2        TRUE      FALSE      FALSE      FALSE      FALSE      FALSE
## 3        TRUE      FALSE      FALSE      FALSE      FALSE      FALSE
## 4        TRUE      FALSE      FALSE      FALSE      FALSE      FALSE
##   LotFrontage LotArea StreetPave AlleyPave LotShapeIR2 LotShapeIR3
## 1       FALSE   FALSE      FALSE     FALSE       FALSE       FALSE
## 2       FALSE   FALSE      FALSE     FALSE       FALSE       FALSE
## 3       FALSE   FALSE      FALSE     FALSE       FALSE       FALSE
## 4       FALSE   FALSE      FALSE     FALSE       FALSE       FALSE
##   LotShapeReg LandContourHLS LandContourLow LandContourLvl UtilitiesNoSeWa
## 1       FALSE          FALSE          FALSE          FALSE           FALSE
## 2       FALSE          FALSE          FALSE          FALSE           FALSE
## 3       FALSE          FALSE          FALSE          FALSE           FALSE
## 4       FALSE          FALSE          FALSE          FALSE           FALSE
##   LotConfigCulDSac LotConfigFR2 LotConfigFR3 LotConfigInside LandSlopeMod
## 1            FALSE        FALSE        FALSE           FALSE        FALSE
## 2            FALSE        FALSE        FALSE           FALSE        FALSE
## 3            FALSE        FALSE        FALSE           FALSE        FALSE
## 4            FALSE        FALSE        FALSE           FALSE        FALSE
##   LandSlopeSev NeighborhoodBlueste NeighborhoodBrDale NeighborhoodBrkSide
## 1        FALSE               FALSE              FALSE               FALSE
## 2        FALSE               FALSE              FALSE               FALSE
## 3        FALSE               FALSE              FALSE               FALSE
## 4        FALSE               FALSE              FALSE               FALSE
##   NeighborhoodClearCr NeighborhoodCollgCr NeighborhoodCrawfor
## 1               FALSE               FALSE               FALSE
## 2               FALSE               FALSE               FALSE
## 3               FALSE               FALSE               FALSE
## 4               FALSE               FALSE               FALSE
##   NeighborhoodEdwards NeighborhoodGilbert NeighborhoodIDOTRR
## 1               FALSE               FALSE              FALSE
## 2               FALSE               FALSE              FALSE
## 3               FALSE               FALSE              FALSE
## 4               FALSE               FALSE              FALSE
##   NeighborhoodMeadowV NeighborhoodMitchel NeighborhoodNAmes
## 1               FALSE               FALSE             FALSE
## 2               FALSE               FALSE             FALSE
## 3               FALSE               FALSE             FALSE
## 4               FALSE               FALSE             FALSE
##   NeighborhoodNoRidge NeighborhoodNPkVill NeighborhoodNridgHt
## 1               FALSE               FALSE               FALSE
## 2               FALSE               FALSE               FALSE
## 3               FALSE               FALSE               FALSE
## 4               FALSE               FALSE               FALSE
##   NeighborhoodNWAmes NeighborhoodOldTown NeighborhoodSawyer
## 1              FALSE               FALSE              FALSE
## 2              FALSE               FALSE              FALSE
## 3              FALSE               FALSE              FALSE
## 4              FALSE               FALSE              FALSE
##   NeighborhoodSawyerW NeighborhoodSomerst NeighborhoodStoneBr
## 1               FALSE               FALSE               FALSE
## 2               FALSE               FALSE               FALSE
## 3               FALSE               FALSE               FALSE
## 4               FALSE               FALSE               FALSE
##   NeighborhoodSWISU NeighborhoodTimber NeighborhoodVeenker Condition1Feedr
## 1             FALSE              FALSE               FALSE           FALSE
## 2             FALSE              FALSE               FALSE           FALSE
## 3             FALSE              FALSE               FALSE           FALSE
## 4             FALSE              FALSE               FALSE           FALSE
##   Condition1Norm Condition1PosA Condition1PosN Condition1RRAe
## 1          FALSE          FALSE          FALSE          FALSE
## 2          FALSE          FALSE          FALSE          FALSE
## 3          FALSE          FALSE          FALSE          FALSE
## 4          FALSE          FALSE          FALSE          FALSE
##   Condition1RRAn Condition1RRNe Condition1RRNn Condition2Feedr
## 1          FALSE          FALSE          FALSE           FALSE
## 2          FALSE          FALSE          FALSE           FALSE
## 3          FALSE          FALSE          FALSE           FALSE
## 4          FALSE          FALSE          FALSE           FALSE
##   Condition2Norm Condition2PosA Condition2PosN Condition2RRAe
## 1          FALSE          FALSE          FALSE          FALSE
## 2          FALSE          FALSE          FALSE          FALSE
## 3          FALSE          FALSE          FALSE          FALSE
## 4          FALSE          FALSE          FALSE          FALSE
##   Condition2RRAn Condition2RRNn BldgType2fmCon BldgTypeDuplex
## 1          FALSE          FALSE          FALSE          FALSE
## 2          FALSE          FALSE          FALSE          FALSE
## 3          FALSE          FALSE          FALSE          FALSE
## 4          FALSE          FALSE          FALSE          FALSE
##   BldgTypeTwnhs BldgTypeTwnhsE HouseStyle1.5Unf HouseStyle1Story
## 1         FALSE          FALSE            FALSE            FALSE
## 2         FALSE          FALSE            FALSE            FALSE
## 3         FALSE          FALSE            FALSE            FALSE
## 4         FALSE          FALSE            FALSE            FALSE
##   HouseStyle2.5Fin HouseStyle2.5Unf HouseStyle2Story HouseStyleSFoyer
## 1            FALSE            FALSE            FALSE            FALSE
## 2            FALSE            FALSE            FALSE            FALSE
## 3            FALSE            FALSE            FALSE            FALSE
## 4            FALSE            FALSE            FALSE            FALSE
##   HouseStyleSLvl OverallQual OverallCond YearBuilt YearRemodAdd
## 1          FALSE        TRUE       FALSE     FALSE        FALSE
## 2          FALSE        TRUE       FALSE     FALSE        FALSE
## 3          FALSE        TRUE       FALSE     FALSE        FALSE
## 4          FALSE        TRUE       FALSE     FALSE        FALSE
##   RoofStyleGable RoofStyleGambrel RoofStyleHip RoofStyleMansard
## 1          FALSE            FALSE        FALSE            FALSE
## 2          FALSE            FALSE        FALSE            FALSE
## 3          FALSE            FALSE        FALSE            FALSE
## 4          FALSE            FALSE        FALSE            FALSE
##   RoofStyleShed RoofMatlCompShg RoofMatlMembran RoofMatlMetal RoofMatlRoll
## 1         FALSE           FALSE           FALSE         FALSE        FALSE
## 2         FALSE           FALSE           FALSE         FALSE        FALSE
## 3         FALSE           FALSE           FALSE         FALSE        FALSE
## 4         FALSE           FALSE           FALSE         FALSE        FALSE
##   RoofMatlTar.Grv RoofMatlWdShake RoofMatlWdShngl Exterior1stAsphShn
## 1           FALSE           FALSE           FALSE              FALSE
## 2           FALSE           FALSE           FALSE              FALSE
## 3           FALSE           FALSE           FALSE              FALSE
## 4           FALSE           FALSE           FALSE              FALSE
##   Exterior1stBrkComm Exterior1stBrkFace Exterior1stCBlock
## 1              FALSE              FALSE             FALSE
## 2              FALSE              FALSE             FALSE
## 3              FALSE              FALSE             FALSE
## 4              FALSE              FALSE             FALSE
##   Exterior1stCemntBd Exterior1stHdBoard Exterior1stImStucc
## 1              FALSE              FALSE              FALSE
## 2              FALSE              FALSE              FALSE
## 3              FALSE              FALSE              FALSE
## 4              FALSE              FALSE              FALSE
##   Exterior1stMetalSd Exterior1stPlywood Exterior1stStone Exterior1stStucco
## 1              FALSE              FALSE            FALSE             FALSE
## 2              FALSE              FALSE            FALSE             FALSE
## 3              FALSE              FALSE            FALSE             FALSE
## 4              FALSE              FALSE            FALSE             FALSE
##   Exterior1stVinylSd Exterior1stWd.Sdng Exterior1stWdShing
## 1              FALSE              FALSE              FALSE
## 2              FALSE              FALSE              FALSE
## 3              FALSE              FALSE              FALSE
## 4              FALSE              FALSE              FALSE
##   Exterior2ndAsphShn Exterior2ndBrk.Cmn Exterior2ndBrkFace
## 1              FALSE              FALSE              FALSE
## 2              FALSE              FALSE              FALSE
## 3              FALSE              FALSE              FALSE
## 4              FALSE              FALSE              FALSE
##   Exterior2ndCBlock Exterior2ndCmentBd Exterior2ndHdBoard
## 1             FALSE              FALSE              FALSE
## 2             FALSE              FALSE              FALSE
## 3             FALSE              FALSE              FALSE
## 4             FALSE              FALSE              FALSE
##   Exterior2ndImStucc Exterior2ndMetalSd Exterior2ndOther
## 1              FALSE              FALSE            FALSE
## 2              FALSE              FALSE            FALSE
## 3              FALSE              FALSE            FALSE
## 4              FALSE              FALSE            FALSE
##   Exterior2ndPlywood Exterior2ndStone Exterior2ndStucco Exterior2ndVinylSd
## 1              FALSE            FALSE             FALSE              FALSE
## 2              FALSE            FALSE             FALSE              FALSE
## 3              FALSE            FALSE             FALSE              FALSE
## 4              FALSE            FALSE             FALSE              FALSE
##   Exterior2ndWd.Sdng Exterior2ndWd.Shng MasVnrTypeBrkFace MasVnrTypeNone
## 1              FALSE              FALSE             FALSE          FALSE
## 2              FALSE              FALSE             FALSE          FALSE
## 3              FALSE              FALSE             FALSE          FALSE
## 4              FALSE              FALSE             FALSE          FALSE
##   MasVnrTypeStone MasVnrArea ExterQual ExterCond FoundationCBlock
## 1           FALSE      FALSE     FALSE     FALSE            FALSE
## 2           FALSE      FALSE     FALSE     FALSE            FALSE
## 3           FALSE      FALSE     FALSE     FALSE            FALSE
## 4           FALSE      FALSE      TRUE     FALSE            FALSE
##   FoundationPConc FoundationSlab FoundationStone FoundationWood BsmtQual
## 1           FALSE          FALSE           FALSE          FALSE    FALSE
## 2           FALSE          FALSE           FALSE          FALSE    FALSE
## 3           FALSE          FALSE           FALSE          FALSE    FALSE
## 4           FALSE          FALSE           FALSE          FALSE    FALSE
##   BsmtCond BsmtExposureGd BsmtExposureMn BsmtExposureNo BsmtFinType1
## 1    FALSE          FALSE          FALSE          FALSE        FALSE
## 2    FALSE          FALSE          FALSE          FALSE        FALSE
## 3    FALSE          FALSE          FALSE          FALSE        FALSE
## 4    FALSE          FALSE          FALSE          FALSE        FALSE
##   BsmtFinSF1 BsmtFinType2 BsmtFinSF2 BsmtUnfSF TotalBsmtSF HeatingGasA
## 1      FALSE        FALSE      FALSE     FALSE       FALSE       FALSE
## 2      FALSE        FALSE      FALSE     FALSE       FALSE       FALSE
## 3       TRUE        FALSE      FALSE     FALSE       FALSE       FALSE
## 4       TRUE        FALSE      FALSE     FALSE       FALSE       FALSE
##   HeatingGasW HeatingGrav HeatingOthW HeatingWall HeatingQC CentralAir
## 1       FALSE       FALSE       FALSE       FALSE     FALSE      FALSE
## 2       FALSE       FALSE       FALSE       FALSE     FALSE      FALSE
## 3       FALSE       FALSE       FALSE       FALSE     FALSE      FALSE
## 4       FALSE       FALSE       FALSE       FALSE     FALSE      FALSE
##   ElectricalFuseF ElectricalFuseP ElectricalMix ElectricalSBrkr X1stFlrSF
## 1           FALSE           FALSE         FALSE           FALSE     FALSE
## 2           FALSE           FALSE         FALSE           FALSE     FALSE
## 3           FALSE           FALSE         FALSE           FALSE     FALSE
## 4           FALSE           FALSE         FALSE           FALSE     FALSE
##   X2ndFlrSF LowQualFinSF GrLivArea BsmtFullBath BsmtHalfBath FullBath
## 1     FALSE        FALSE     FALSE        FALSE        FALSE    FALSE
## 2     FALSE        FALSE      TRUE        FALSE        FALSE    FALSE
## 3     FALSE        FALSE      TRUE        FALSE        FALSE    FALSE
## 4     FALSE        FALSE      TRUE        FALSE        FALSE    FALSE
##   HalfBath BedroomAbvGr KitchenAbvGr KitchenQual TotRmsAbvGrd
## 1    FALSE        FALSE        FALSE       FALSE        FALSE
## 2    FALSE        FALSE        FALSE       FALSE        FALSE
## 3    FALSE        FALSE        FALSE       FALSE        FALSE
## 4    FALSE        FALSE        FALSE       FALSE        FALSE
##   FunctionalMaj2 FunctionalMin1 FunctionalMin2 FunctionalMod FunctionalSev
## 1          FALSE          FALSE          FALSE         FALSE         FALSE
## 2          FALSE          FALSE          FALSE         FALSE         FALSE
## 3          FALSE          FALSE          FALSE         FALSE         FALSE
## 4          FALSE          FALSE          FALSE         FALSE         FALSE
##   FunctionalTyp Fireplaces FireplaceQu GarageTypeAttchd GarageTypeBasment
## 1         FALSE      FALSE       FALSE            FALSE             FALSE
## 2         FALSE      FALSE       FALSE            FALSE             FALSE
## 3         FALSE      FALSE       FALSE            FALSE             FALSE
## 4         FALSE      FALSE       FALSE            FALSE             FALSE
##   GarageTypeBuiltIn GarageTypeCarPort GarageTypeDetchd GarageYrBlt
## 1             FALSE             FALSE            FALSE       FALSE
## 2             FALSE             FALSE            FALSE       FALSE
## 3             FALSE             FALSE            FALSE       FALSE
## 4             FALSE             FALSE            FALSE       FALSE
##   GarageFinish GarageCars GarageArea GarageQual GarageCond PavedDriveP
## 1        FALSE      FALSE      FALSE      FALSE      FALSE       FALSE
## 2        FALSE      FALSE      FALSE      FALSE      FALSE       FALSE
## 3        FALSE      FALSE      FALSE      FALSE      FALSE       FALSE
## 4        FALSE      FALSE      FALSE      FALSE      FALSE       FALSE
##   PavedDriveY WoodDeckSF OpenPorchSF EnclosedPorch X3SsnPorch ScreenPorch
## 1       FALSE      FALSE       FALSE         FALSE      FALSE       FALSE
## 2       FALSE      FALSE       FALSE         FALSE      FALSE       FALSE
## 3       FALSE      FALSE       FALSE         FALSE      FALSE       FALSE
## 4       FALSE      FALSE       FALSE         FALSE      FALSE       FALSE
##   PoolArea PoolQC Fence MiscFeatureOthr MiscFeatureShed MiscFeatureTenC
## 1    FALSE  FALSE FALSE           FALSE           FALSE           FALSE
## 2    FALSE  FALSE FALSE           FALSE           FALSE           FALSE
## 3    FALSE  FALSE FALSE           FALSE           FALSE           FALSE
## 4    FALSE  FALSE FALSE           FALSE           FALSE           FALSE
##   MiscVal MoSold YrSold SaleTypeCon SaleTypeConLD SaleTypeConLI
## 1   FALSE  FALSE  FALSE       FALSE         FALSE         FALSE
## 2   FALSE  FALSE  FALSE       FALSE         FALSE         FALSE
## 3   FALSE  FALSE  FALSE       FALSE         FALSE         FALSE
## 4   FALSE  FALSE  FALSE       FALSE         FALSE         FALSE
##   SaleTypeConLw SaleTypeCWD SaleTypeNew SaleTypeOth SaleTypeWD
## 1         FALSE       FALSE       FALSE       FALSE      FALSE
## 2         FALSE       FALSE       FALSE       FALSE      FALSE
## 3         FALSE       FALSE       FALSE       FALSE      FALSE
## 4         FALSE       FALSE       FALSE       FALSE      FALSE
##   SaleConditionAdjLand SaleConditionAlloca SaleConditionFamily
## 1                FALSE               FALSE               FALSE
## 2                FALSE               FALSE               FALSE
## 3                FALSE               FALSE               FALSE
## 4                FALSE               FALSE               FALSE
##   SaleConditionNormal SaleConditionPartial
## 1               FALSE                FALSE
## 2               FALSE                FALSE
## 3               FALSE                FALSE
## 4               FALSE                FALSE
## 
## $rsq
## [1] 0.6256519 0.7141732 0.7459490 0.7686903
## 
## $rss
## [1] 3.446964e+12 2.631868e+12 2.339279e+12 2.129879e+12
## 
## $adjr2
## [1] 0.6253951 0.7137809 0.7454255 0.7680544
## 
## $cp
## [1] 4557.172 3137.250 2628.834 2265.539
## 
## $bic
## [1] -1419.979 -1806.601 -1971.377 -2101.006
# Cannot run, past nvmax = 5, get error that forces me to terminate R. 

Best Subset

# Best Methods
par(mfrow=c(2,2))
plot(train_best_summary$rss, type = "b", ylab = "rss")
plot(train_best_summary$cp, type = "b", ylab = "cp")

points(4, train_best_summary$cp[4], col = "red", cex = 2, pch = 20)
which.min(train_best_summary$cp)
## [1] 4
plot(train_best_summary$bic, type = "b", ylab = "bic")
which.min(train_best_summary$bic)
## [1] 4
points(4, train_best_summary$bic[4], type = "b", col = "green", cex=2, pch = 20)

plot(train_best_summary$adjr2, type = "b", ylab = "adjr2")
which.max(train_best_summary$adjr2)
## [1] 4
points(4, train_best_summary$adjr2[4], col = "blue", cex = 2, pch=20)

Prediction Step: Best

predict_regsub <- function(test, newdata, id){
  form <- as.formula(test$call[[2]])
  mat <- model.matrix(~., newdata)
  coefic <- coef(test, id = id)
  xvars <- names(coefic)
  return(mat[,xvars]%*%coefic)
}

best_rss <- predict_regsub(train_best, newdata=data.frame(test_knn), id=which.min(train_best_summary$rss))
                           
best_bic <- predict_regsub(train_best, newdata = data.frame(test_knn), id=which.min(train_best_summary$bic))

best_cp <- predict_regsub(train_best, newdata=data.frame(test_knn),id=which.min(train_best_summary$cp))

best_adjr2 <- predict_regsub(train_best, newdata=data.frame(test_knn),id= which.max(train_best_summary$adjr2))

# Converting to .csv file
bestrss_csv <- cbind("Id"=1461:2919, "SalePrice" = best_rss)
write.csv(bestrss_csv, file = "best_rss_pred_midterm.csv", row.names = FALSE)

bestbic_csv <- cbind("Id"=1461:2919, "SalePrice" = best_bic)
write.csv(bestbic_csv, file = "best_bic_pred_midterm.csv", row.names = FALSE)

bestcp_csv <- cbind("Id"=1461:2919, "SalePrice" = best_cp)
write.csv(bestcp_csv, file = "best_cp_pred_midterm.csv", row.names = FALSE)

bestadjr2_csv <- cbind("Id"=1461:2919, "SalePrice" = best_adjr2)
write.csv(bestadjr2_csv, file = "best_adjr2_pred_midterm.csv", row.names = FALSE)

Estimated Test Error: Best

library(leaps)
library(boot)
train_linear4 <- cbind(train_linear2, price)
cv_error_best <- rep(0,5)
for (i in 1:10){
  glm_fit2 <- glm(price~., data = train_linear4)
  cv_error_best[i] <- cv.glm(train_linear4, glm_fit2, K=10)$delta[1]
}
## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading

## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading
mean(cv_error_best)
## [1] 2321055386

Results

Best: RSS

Best: RSS

Best: BIC

Best: BIC

Best: Cp

Best: Cp

Best: Adjr2

Best: Adjr2

Best Subset Method Comments

The scores for the BIC, CP, and Adjr2 are all very bad and indicate a large error in the predicted housing prices. The trouble with the best subset method is that a low RSS or a high R^2 indicates a model with a low training error, when there must be a low test error. The results indicate that this method does not produce an accurate prediction for the housing prices. The major negative that Best Subset has is that there are 2^p possible models.

Forward Stepwise

forward <- regsubsets(price~., data = data.frame(train_knn_actual), nvmax=150, method = "forward")
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
forward_summary <- summary(forward)
forward_summary
## Subset selection object
## Call: regsubsets.formula(price ~ ., data = data.frame(train_knn_actual), 
##     nvmax = 150, method = "forward")
## 210 Variables  (and intercept)
##                      Forced in Forced out
## MSSubClass               FALSE      FALSE
## MSZoningFV               FALSE      FALSE
## MSZoningRH               FALSE      FALSE
## MSZoningRL               FALSE      FALSE
## MSZoningRM               FALSE      FALSE
## LotFrontage              FALSE      FALSE
## LotArea                  FALSE      FALSE
## StreetPave               FALSE      FALSE
## AlleyPave                FALSE      FALSE
## LotShapeIR2              FALSE      FALSE
## LotShapeIR3              FALSE      FALSE
## LotShapeReg              FALSE      FALSE
## LandContourHLS           FALSE      FALSE
## LandContourLow           FALSE      FALSE
## LandContourLvl           FALSE      FALSE
## UtilitiesNoSeWa          FALSE      FALSE
## LotConfigCulDSac         FALSE      FALSE
## LotConfigFR2             FALSE      FALSE
## LotConfigFR3             FALSE      FALSE
## LotConfigInside          FALSE      FALSE
## LandSlopeMod             FALSE      FALSE
## LandSlopeSev             FALSE      FALSE
## NeighborhoodBlueste      FALSE      FALSE
## NeighborhoodBrDale       FALSE      FALSE
## NeighborhoodBrkSide      FALSE      FALSE
## NeighborhoodClearCr      FALSE      FALSE
## NeighborhoodCollgCr      FALSE      FALSE
## NeighborhoodCrawfor      FALSE      FALSE
## NeighborhoodEdwards      FALSE      FALSE
## NeighborhoodGilbert      FALSE      FALSE
## NeighborhoodIDOTRR       FALSE      FALSE
## NeighborhoodMeadowV      FALSE      FALSE
## NeighborhoodMitchel      FALSE      FALSE
## NeighborhoodNAmes        FALSE      FALSE
## NeighborhoodNoRidge      FALSE      FALSE
## NeighborhoodNPkVill      FALSE      FALSE
## NeighborhoodNridgHt      FALSE      FALSE
## NeighborhoodNWAmes       FALSE      FALSE
## NeighborhoodOldTown      FALSE      FALSE
## NeighborhoodSawyer       FALSE      FALSE
## NeighborhoodSawyerW      FALSE      FALSE
## NeighborhoodSomerst      FALSE      FALSE
## NeighborhoodStoneBr      FALSE      FALSE
## NeighborhoodSWISU        FALSE      FALSE
## NeighborhoodTimber       FALSE      FALSE
## NeighborhoodVeenker      FALSE      FALSE
## Condition1Feedr          FALSE      FALSE
## Condition1Norm           FALSE      FALSE
## Condition1PosA           FALSE      FALSE
## Condition1PosN           FALSE      FALSE
## Condition1RRAe           FALSE      FALSE
## Condition1RRAn           FALSE      FALSE
## Condition1RRNe           FALSE      FALSE
## Condition1RRNn           FALSE      FALSE
## Condition2Feedr          FALSE      FALSE
## Condition2Norm           FALSE      FALSE
## Condition2PosA           FALSE      FALSE
## Condition2PosN           FALSE      FALSE
## Condition2RRAe           FALSE      FALSE
## Condition2RRAn           FALSE      FALSE
## Condition2RRNn           FALSE      FALSE
## BldgType2fmCon           FALSE      FALSE
## BldgTypeDuplex           FALSE      FALSE
## BldgTypeTwnhs            FALSE      FALSE
## BldgTypeTwnhsE           FALSE      FALSE
## HouseStyle1.5Unf         FALSE      FALSE
## HouseStyle1Story         FALSE      FALSE
## HouseStyle2.5Fin         FALSE      FALSE
## HouseStyle2.5Unf         FALSE      FALSE
## HouseStyle2Story         FALSE      FALSE
## HouseStyleSFoyer         FALSE      FALSE
## HouseStyleSLvl           FALSE      FALSE
## OverallQual              FALSE      FALSE
## OverallCond              FALSE      FALSE
## YearBuilt                FALSE      FALSE
## YearRemodAdd             FALSE      FALSE
## RoofStyleGable           FALSE      FALSE
## RoofStyleGambrel         FALSE      FALSE
## RoofStyleHip             FALSE      FALSE
## RoofStyleMansard         FALSE      FALSE
## RoofStyleShed            FALSE      FALSE
## RoofMatlCompShg          FALSE      FALSE
## RoofMatlMembran          FALSE      FALSE
## RoofMatlMetal            FALSE      FALSE
## RoofMatlRoll             FALSE      FALSE
## RoofMatlTar.Grv          FALSE      FALSE
## RoofMatlWdShake          FALSE      FALSE
## RoofMatlWdShngl          FALSE      FALSE
## Exterior1stAsphShn       FALSE      FALSE
## Exterior1stBrkComm       FALSE      FALSE
## Exterior1stBrkFace       FALSE      FALSE
## Exterior1stCBlock        FALSE      FALSE
## Exterior1stCemntBd       FALSE      FALSE
## Exterior1stHdBoard       FALSE      FALSE
## Exterior1stImStucc       FALSE      FALSE
## Exterior1stMetalSd       FALSE      FALSE
## Exterior1stPlywood       FALSE      FALSE
## Exterior1stStone         FALSE      FALSE
## Exterior1stStucco        FALSE      FALSE
## Exterior1stVinylSd       FALSE      FALSE
## Exterior1stWd.Sdng       FALSE      FALSE
## Exterior1stWdShing       FALSE      FALSE
## Exterior2ndAsphShn       FALSE      FALSE
## Exterior2ndBrk.Cmn       FALSE      FALSE
## Exterior2ndBrkFace       FALSE      FALSE
## Exterior2ndCmentBd       FALSE      FALSE
## Exterior2ndHdBoard       FALSE      FALSE
## Exterior2ndImStucc       FALSE      FALSE
## Exterior2ndMetalSd       FALSE      FALSE
## Exterior2ndOther         FALSE      FALSE
## Exterior2ndPlywood       FALSE      FALSE
## Exterior2ndStone         FALSE      FALSE
## Exterior2ndStucco        FALSE      FALSE
## Exterior2ndVinylSd       FALSE      FALSE
## Exterior2ndWd.Sdng       FALSE      FALSE
## Exterior2ndWd.Shng       FALSE      FALSE
## MasVnrTypeBrkFace        FALSE      FALSE
## MasVnrTypeNone           FALSE      FALSE
## MasVnrTypeStone          FALSE      FALSE
## MasVnrArea               FALSE      FALSE
## ExterQual                FALSE      FALSE
## ExterCond                FALSE      FALSE
## FoundationCBlock         FALSE      FALSE
## FoundationPConc          FALSE      FALSE
## FoundationSlab           FALSE      FALSE
## FoundationStone          FALSE      FALSE
## FoundationWood           FALSE      FALSE
## BsmtQual                 FALSE      FALSE
## BsmtCond                 FALSE      FALSE
## BsmtExposureGd           FALSE      FALSE
## BsmtExposureMn           FALSE      FALSE
## BsmtExposureNo           FALSE      FALSE
## BsmtFinType1             FALSE      FALSE
## BsmtFinSF1               FALSE      FALSE
## BsmtFinType2             FALSE      FALSE
## BsmtFinSF2               FALSE      FALSE
## BsmtUnfSF                FALSE      FALSE
## HeatingGasA              FALSE      FALSE
## HeatingGasW              FALSE      FALSE
## HeatingGrav              FALSE      FALSE
## HeatingOthW              FALSE      FALSE
## HeatingWall              FALSE      FALSE
## HeatingQC                FALSE      FALSE
## CentralAir               FALSE      FALSE
## ElectricalFuseF          FALSE      FALSE
## ElectricalFuseP          FALSE      FALSE
## ElectricalMix            FALSE      FALSE
## ElectricalSBrkr          FALSE      FALSE
## X1stFlrSF                FALSE      FALSE
## X2ndFlrSF                FALSE      FALSE
## LowQualFinSF             FALSE      FALSE
## BsmtFullBath             FALSE      FALSE
## BsmtHalfBath             FALSE      FALSE
## FullBath                 FALSE      FALSE
## HalfBath                 FALSE      FALSE
## BedroomAbvGr             FALSE      FALSE
## KitchenAbvGr             FALSE      FALSE
## KitchenQual              FALSE      FALSE
## TotRmsAbvGrd             FALSE      FALSE
## FunctionalMaj2           FALSE      FALSE
## FunctionalMin1           FALSE      FALSE
## FunctionalMin2           FALSE      FALSE
## FunctionalMod            FALSE      FALSE
## FunctionalSev            FALSE      FALSE
## FunctionalTyp            FALSE      FALSE
## Fireplaces               FALSE      FALSE
## FireplaceQu              FALSE      FALSE
## GarageTypeAttchd         FALSE      FALSE
## GarageTypeBasment        FALSE      FALSE
## GarageTypeBuiltIn        FALSE      FALSE
## GarageTypeCarPort        FALSE      FALSE
## GarageTypeDetchd         FALSE      FALSE
## GarageYrBlt              FALSE      FALSE
## GarageFinish             FALSE      FALSE
## GarageCars               FALSE      FALSE
## GarageArea               FALSE      FALSE
## GarageQual               FALSE      FALSE
## GarageCond               FALSE      FALSE
## PavedDriveP              FALSE      FALSE
## PavedDriveY              FALSE      FALSE
## WoodDeckSF               FALSE      FALSE
## OpenPorchSF              FALSE      FALSE
## EnclosedPorch            FALSE      FALSE
## X3SsnPorch               FALSE      FALSE
## ScreenPorch              FALSE      FALSE
## PoolArea                 FALSE      FALSE
## PoolQC                   FALSE      FALSE
## Fence                    FALSE      FALSE
## MiscFeatureOthr          FALSE      FALSE
## MiscFeatureShed          FALSE      FALSE
## MiscFeatureTenC          FALSE      FALSE
## MiscVal                  FALSE      FALSE
## MoSold                   FALSE      FALSE
## YrSold                   FALSE      FALSE
## SaleTypeCon              FALSE      FALSE
## SaleTypeConLD            FALSE      FALSE
## SaleTypeConLI            FALSE      FALSE
## SaleTypeConLw            FALSE      FALSE
## SaleTypeCWD              FALSE      FALSE
## SaleTypeNew              FALSE      FALSE
## SaleTypeOth              FALSE      FALSE
## SaleTypeWD               FALSE      FALSE
## SaleConditionAdjLand     FALSE      FALSE
## SaleConditionAlloca      FALSE      FALSE
## SaleConditionFamily      FALSE      FALSE
## SaleConditionNormal      FALSE      FALSE
## SaleConditionPartial     FALSE      FALSE
## Exterior2ndCBlock        FALSE      FALSE
## TotalBsmtSF              FALSE      FALSE
## GrLivArea                FALSE      FALSE
## 1 subsets of each size up to 151
## Selection Algorithm: forward
##            MSSubClass MSZoningFV MSZoningRH MSZoningRL MSZoningRM
## 1  ( 1 )   " "        " "        " "        " "        " "       
## 2  ( 1 )   " "        " "        " "        " "        " "       
## 3  ( 1 )   " "        " "        " "        " "        " "       
## 4  ( 1 )   " "        " "        " "        " "        " "       
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## 6  ( 1 )   "*"        " "        " "        " "        " "       
## 7  ( 1 )   "*"        " "        " "        " "        " "       
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## 10  ( 1 )  "*"        " "        " "        " "        " "       
## 11  ( 1 )  "*"        " "        " "        " "        " "       
## 12  ( 1 )  "*"        " "        " "        " "        " "       
## 13  ( 1 )  "*"        " "        " "        " "        " "       
## 14  ( 1 )  "*"        " "        " "        " "        " "       
## 15  ( 1 )  "*"        " "        " "        " "        " "       
## 16  ( 1 )  "*"        " "        " "        " "        " "       
## 17  ( 1 )  "*"        " "        " "        " "        " "       
## 18  ( 1 )  "*"        " "        " "        " "        " "       
## 19  ( 1 )  "*"        " "        " "        " "        " "       
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## 21  ( 1 )  "*"        " "        " "        " "        " "       
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## 23  ( 1 )  "*"        " "        " "        " "        " "       
## 24  ( 1 )  "*"        " "        " "        " "        " "       
## 25  ( 1 )  "*"        " "        " "        " "        " "       
## 26  ( 1 )  "*"        " "        " "        " "        " "       
## 27  ( 1 )  "*"        " "        " "        " "        " "       
## 28  ( 1 )  "*"        " "        " "        " "        " "       
## 29  ( 1 )  "*"        " "        " "        " "        " "       
## 30  ( 1 )  "*"        " "        " "        " "        " "       
## 31  ( 1 )  "*"        " "        " "        " "        " "       
## 32  ( 1 )  "*"        " "        " "        " "        " "       
## 33  ( 1 )  "*"        " "        " "        " "        " "       
## 34  ( 1 )  "*"        " "        " "        " "        " "       
## 35  ( 1 )  "*"        " "        " "        " "        " "       
## 36  ( 1 )  "*"        " "        " "        " "        " "       
## 37  ( 1 )  "*"        " "        " "        " "        " "       
## 38  ( 1 )  "*"        " "        " "        " "        " "       
## 39  ( 1 )  "*"        " "        " "        " "        " "       
## 40  ( 1 )  "*"        " "        " "        " "        " "       
## 41  ( 1 )  "*"        " "        " "        " "        " "       
## 42  ( 1 )  "*"        " "        " "        " "        " "       
## 43  ( 1 )  "*"        " "        " "        " "        " "       
## 44  ( 1 )  "*"        " "        " "        " "        " "       
## 45  ( 1 )  "*"        " "        " "        " "        " "       
## 46  ( 1 )  "*"        " "        " "        " "        " "       
## 47  ( 1 )  "*"        " "        " "        " "        " "       
## 48  ( 1 )  "*"        " "        " "        " "        " "       
## 49  ( 1 )  "*"        " "        " "        " "        " "       
## 50  ( 1 )  "*"        " "        " "        " "        " "       
## 51  ( 1 )  "*"        " "        " "        " "        " "       
## 52  ( 1 )  "*"        " "        " "        " "        " "       
## 53  ( 1 )  "*"        " "        " "        " "        " "       
## 54  ( 1 )  "*"        " "        " "        " "        " "       
## 55  ( 1 )  "*"        " "        " "        " "        " "       
## 56  ( 1 )  "*"        " "        " "        " "        " "       
## 57  ( 1 )  "*"        " "        " "        " "        " "       
## 58  ( 1 )  "*"        " "        " "        " "        " "       
## 59  ( 1 )  "*"        " "        " "        " "        " "       
## 60  ( 1 )  "*"        " "        " "        " "        " "       
## 61  ( 1 )  "*"        " "        " "        " "        " "       
## 62  ( 1 )  "*"        " "        " "        "*"        " "       
## 63  ( 1 )  "*"        " "        " "        "*"        " "       
## 64  ( 1 )  "*"        " "        " "        "*"        " "       
## 65  ( 1 )  "*"        " "        " "        "*"        " "       
## 66  ( 1 )  "*"        " "        " "        "*"        " "       
## 67  ( 1 )  "*"        " "        " "        "*"        " "       
## 68  ( 1 )  "*"        " "        " "        "*"        " "       
## 69  ( 1 )  "*"        " "        " "        "*"        " "       
## 70  ( 1 )  "*"        " "        " "        "*"        " "       
## 71  ( 1 )  "*"        " "        " "        "*"        " "       
## 72  ( 1 )  "*"        " "        " "        "*"        " "       
## 73  ( 1 )  "*"        " "        " "        "*"        " "       
## 74  ( 1 )  "*"        " "        " "        "*"        " "       
## 75  ( 1 )  "*"        " "        " "        "*"        " "       
## 76  ( 1 )  "*"        " "        " "        "*"        " "       
## 77  ( 1 )  "*"        " "        " "        "*"        " "       
## 78  ( 1 )  "*"        " "        " "        "*"        " "       
## 79  ( 1 )  "*"        " "        " "        "*"        " "       
## 80  ( 1 )  "*"        " "        " "        "*"        " "       
## 81  ( 1 )  "*"        " "        " "        "*"        " "       
## 82  ( 1 )  "*"        " "        " "        "*"        " "       
## 83  ( 1 )  "*"        " "        " "        "*"        " "       
## 84  ( 1 )  "*"        " "        " "        "*"        " "       
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## 86  ( 1 )  "*"        " "        " "        "*"        " "       
## 87  ( 1 )  "*"        " "        " "        "*"        " "       
## 88  ( 1 )  "*"        " "        " "        "*"        " "       
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## 90  ( 1 )  "*"        " "        " "        "*"        " "       
## 91  ( 1 )  "*"        " "        " "        "*"        " "       
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## 93  ( 1 )  "*"        " "        " "        "*"        " "       
## 94  ( 1 )  "*"        " "        " "        "*"        " "       
## 95  ( 1 )  "*"        " "        " "        "*"        " "       
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## 98  ( 1 )  "*"        " "        " "        "*"        " "       
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## 100  ( 1 ) "*"        " "        " "        "*"        " "       
## 101  ( 1 ) "*"        " "        " "        "*"        " "       
## 102  ( 1 ) "*"        " "        " "        "*"        " "       
## 103  ( 1 ) "*"        " "        " "        "*"        " "       
## 104  ( 1 ) "*"        " "        " "        "*"        " "       
## 105  ( 1 ) "*"        " "        " "        "*"        " "       
## 106  ( 1 ) "*"        " "        " "        "*"        " "       
## 107  ( 1 ) "*"        " "        " "        "*"        " "       
## 108  ( 1 ) "*"        " "        " "        "*"        " "       
## 109  ( 1 ) "*"        " "        " "        "*"        " "       
## 110  ( 1 ) "*"        " "        " "        "*"        " "       
## 111  ( 1 ) "*"        " "        " "        "*"        " "       
## 112  ( 1 ) "*"        " "        " "        "*"        " "       
## 113  ( 1 ) "*"        " "        " "        "*"        " "       
## 114  ( 1 ) "*"        " "        " "        "*"        " "       
## 115  ( 1 ) "*"        " "        " "        "*"        " "       
## 116  ( 1 ) "*"        " "        " "        "*"        " "       
## 117  ( 1 ) "*"        " "        " "        "*"        " "       
## 118  ( 1 ) "*"        " "        " "        "*"        " "       
## 119  ( 1 ) "*"        " "        " "        "*"        " "       
## 120  ( 1 ) "*"        " "        " "        "*"        " "       
## 121  ( 1 ) "*"        " "        " "        "*"        " "       
## 122  ( 1 ) "*"        " "        " "        "*"        " "       
## 123  ( 1 ) "*"        " "        " "        "*"        " "       
## 124  ( 1 ) "*"        " "        " "        "*"        "*"       
## 125  ( 1 ) "*"        "*"        " "        "*"        "*"       
## 126  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 127  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 128  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 129  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 130  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 131  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 132  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 133  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 134  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 135  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 136  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 137  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 138  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 139  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 140  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 141  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 142  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 143  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 144  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 145  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 146  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 147  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 148  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 149  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 150  ( 1 ) "*"        "*"        "*"        "*"        "*"       
## 151  ( 1 ) "*"        "*"        "*"        "*"        "*"       
##            LotFrontage LotArea StreetPave AlleyPave LotShapeIR2
## 1  ( 1 )   " "         " "     " "        " "       " "        
## 2  ( 1 )   " "         " "     " "        " "       " "        
## 3  ( 1 )   " "         " "     " "        " "       " "        
## 4  ( 1 )   " "         " "     " "        " "       " "        
## 5  ( 1 )   " "         " "     " "        " "       " "        
## 6  ( 1 )   " "         " "     " "        " "       " "        
## 7  ( 1 )   " "         " "     " "        " "       " "        
## 8  ( 1 )   " "         " "     " "        " "       " "        
## 9  ( 1 )   " "         " "     " "        " "       " "        
## 10  ( 1 )  " "         " "     " "        " "       " "        
## 11  ( 1 )  " "         " "     " "        " "       " "        
## 12  ( 1 )  " "         " "     " "        " "       " "        
## 13  ( 1 )  " "         " "     " "        " "       " "        
## 14  ( 1 )  " "         " "     " "        " "       " "        
## 15  ( 1 )  " "         " "     " "        " "       " "        
## 16  ( 1 )  " "         " "     " "        " "       " "        
## 17  ( 1 )  " "         " "     " "        " "       " "        
## 18  ( 1 )  " "         "*"     " "        " "       " "        
## 19  ( 1 )  " "         "*"     " "        " "       " "        
## 20  ( 1 )  " "         "*"     " "        " "       " "        
## 21  ( 1 )  " "         "*"     " "        " "       " "        
## 22  ( 1 )  " "         "*"     " "        " "       " "        
## 23  ( 1 )  " "         "*"     " "        " "       " "        
## 24  ( 1 )  " "         "*"     " "        " "       " "        
## 25  ( 1 )  " "         "*"     " "        " "       " "        
## 26  ( 1 )  " "         "*"     " "        " "       " "        
## 27  ( 1 )  " "         "*"     " "        " "       " "        
## 28  ( 1 )  " "         "*"     " "        " "       " "        
## 29  ( 1 )  " "         "*"     " "        " "       " "        
## 30  ( 1 )  " "         "*"     " "        " "       " "        
## 31  ( 1 )  " "         "*"     " "        " "       " "        
## 32  ( 1 )  " "         "*"     " "        " "       " "        
## 33  ( 1 )  " "         "*"     " "        " "       " "        
## 34  ( 1 )  " "         "*"     "*"        " "       " "        
## 35  ( 1 )  " "         "*"     "*"        " "       " "        
## 36  ( 1 )  " "         "*"     "*"        " "       " "        
## 37  ( 1 )  " "         "*"     "*"        " "       " "        
## 38  ( 1 )  " "         "*"     "*"        " "       " "        
## 39  ( 1 )  " "         "*"     "*"        " "       " "        
## 40  ( 1 )  " "         "*"     "*"        " "       " "        
## 41  ( 1 )  " "         "*"     "*"        " "       " "        
## 42  ( 1 )  " "         "*"     "*"        " "       " "        
## 43  ( 1 )  " "         "*"     "*"        " "       " "        
## 44  ( 1 )  " "         "*"     "*"        " "       " "        
## 45  ( 1 )  " "         "*"     "*"        " "       " "        
## 46  ( 1 )  " "         "*"     "*"        " "       " "        
## 47  ( 1 )  " "         "*"     "*"        " "       " "        
## 48  ( 1 )  " "         "*"     "*"        " "       " "        
## 49  ( 1 )  " "         "*"     "*"        " "       " "        
## 50  ( 1 )  " "         "*"     "*"        " "       " "        
## 51  ( 1 )  " "         "*"     "*"        " "       " "        
## 52  ( 1 )  " "         "*"     "*"        " "       " "        
## 53  ( 1 )  " "         "*"     "*"        " "       " "        
## 54  ( 1 )  " "         "*"     "*"        " "       " "        
## 55  ( 1 )  " "         "*"     "*"        " "       " "        
## 56  ( 1 )  " "         "*"     "*"        " "       " "        
## 57  ( 1 )  " "         "*"     "*"        " "       " "        
## 58  ( 1 )  " "         "*"     "*"        " "       " "        
## 59  ( 1 )  " "         "*"     "*"        " "       " "        
## 60  ( 1 )  " "         "*"     "*"        " "       " "        
## 61  ( 1 )  " "         "*"     "*"        " "       " "        
## 62  ( 1 )  " "         "*"     "*"        " "       " "        
## 63  ( 1 )  " "         "*"     "*"        " "       " "        
## 64  ( 1 )  " "         "*"     "*"        " "       " "        
## 65  ( 1 )  " "         "*"     "*"        " "       "*"        
## 66  ( 1 )  " "         "*"     "*"        " "       "*"        
## 67  ( 1 )  " "         "*"     "*"        " "       "*"        
## 68  ( 1 )  " "         "*"     "*"        " "       "*"        
## 69  ( 1 )  " "         "*"     "*"        " "       "*"        
## 70  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 71  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 72  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 73  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 74  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 75  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 76  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 77  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 78  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 79  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 80  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 81  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 82  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 83  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 84  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 85  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 86  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 87  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 88  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 89  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 90  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 91  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 92  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 93  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 94  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 95  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 96  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 97  ( 1 )  "*"         "*"     "*"        " "       "*"        
## 98  ( 1 )  "*"         "*"     "*"        " "       "*"        
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## 100  ( 1 ) "*"         "*"     "*"        " "       "*"        
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## 118  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 119  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 120  ( 1 ) "*"         "*"     "*"        " "       "*"        
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## 125  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 126  ( 1 ) "*"         "*"     "*"        " "       "*"        
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## 128  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 129  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 130  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 131  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 132  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 133  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 134  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 135  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 136  ( 1 ) "*"         "*"     "*"        " "       "*"        
## 137  ( 1 ) "*"         "*"     "*"        " "       "*"        
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##            LotShapeIR3 LotShapeReg LandContourHLS LandContourLow
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##            LandContourLvl UtilitiesNoSeWa LotConfigCulDSac LotConfigFR2
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##            LotConfigFR3 LotConfigInside LandSlopeMod LandSlopeSev
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## 82  ( 1 )  " "          " "             " "          "*"         
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## 84  ( 1 )  " "          " "             " "          "*"         
## 85  ( 1 )  " "          " "             " "          "*"         
## 86  ( 1 )  " "          " "             " "          "*"         
## 87  ( 1 )  " "          " "             " "          "*"         
## 88  ( 1 )  " "          " "             " "          "*"         
## 89  ( 1 )  " "          " "             " "          "*"         
## 90  ( 1 )  " "          " "             " "          "*"         
## 91  ( 1 )  " "          " "             " "          "*"         
## 92  ( 1 )  " "          " "             " "          "*"         
## 93  ( 1 )  " "          " "             " "          "*"         
## 94  ( 1 )  " "          " "             " "          "*"         
## 95  ( 1 )  " "          " "             " "          "*"         
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## 97  ( 1 )  " "          " "             " "          "*"         
## 98  ( 1 )  " "          " "             " "          "*"         
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## 100  ( 1 ) " "          " "             " "          "*"         
## 101  ( 1 ) " "          " "             " "          "*"         
## 102  ( 1 ) " "          " "             " "          "*"         
## 103  ( 1 ) " "          " "             " "          "*"         
## 104  ( 1 ) " "          " "             " "          "*"         
## 105  ( 1 ) " "          " "             " "          "*"         
## 106  ( 1 ) " "          " "             " "          "*"         
## 107  ( 1 ) " "          " "             " "          "*"         
## 108  ( 1 ) " "          " "             " "          "*"         
## 109  ( 1 ) " "          " "             " "          "*"         
## 110  ( 1 ) " "          " "             " "          "*"         
## 111  ( 1 ) " "          " "             " "          "*"         
## 112  ( 1 ) " "          " "             " "          "*"         
## 113  ( 1 ) " "          " "             "*"          "*"         
## 114  ( 1 ) " "          " "             "*"          "*"         
## 115  ( 1 ) " "          " "             "*"          "*"         
## 116  ( 1 ) " "          " "             "*"          "*"         
## 117  ( 1 ) " "          " "             "*"          "*"         
## 118  ( 1 ) "*"          " "             "*"          "*"         
## 119  ( 1 ) "*"          " "             "*"          "*"         
## 120  ( 1 ) "*"          " "             "*"          "*"         
## 121  ( 1 ) "*"          " "             "*"          "*"         
## 122  ( 1 ) "*"          " "             "*"          "*"         
## 123  ( 1 ) "*"          " "             "*"          "*"         
## 124  ( 1 ) "*"          " "             "*"          "*"         
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## 126  ( 1 ) "*"          " "             "*"          "*"         
## 127  ( 1 ) "*"          " "             "*"          "*"         
## 128  ( 1 ) "*"          " "             "*"          "*"         
## 129  ( 1 ) "*"          " "             "*"          "*"         
## 130  ( 1 ) "*"          " "             "*"          "*"         
## 131  ( 1 ) "*"          " "             "*"          "*"         
## 132  ( 1 ) "*"          " "             "*"          "*"         
## 133  ( 1 ) "*"          " "             "*"          "*"         
## 134  ( 1 ) "*"          " "             "*"          "*"         
## 135  ( 1 ) "*"          " "             "*"          "*"         
## 136  ( 1 ) "*"          " "             "*"          "*"         
## 137  ( 1 ) "*"          " "             "*"          "*"         
## 138  ( 1 ) "*"          " "             "*"          "*"         
## 139  ( 1 ) "*"          " "             "*"          "*"         
## 140  ( 1 ) "*"          " "             "*"          "*"         
## 141  ( 1 ) "*"          " "             "*"          "*"         
## 142  ( 1 ) "*"          " "             "*"          "*"         
## 143  ( 1 ) "*"          " "             "*"          "*"         
## 144  ( 1 ) "*"          " "             "*"          "*"         
## 145  ( 1 ) "*"          " "             "*"          "*"         
## 146  ( 1 ) "*"          " "             "*"          "*"         
## 147  ( 1 ) "*"          " "             "*"          "*"         
## 148  ( 1 ) "*"          " "             "*"          "*"         
## 149  ( 1 ) "*"          " "             "*"          "*"         
## 150  ( 1 ) "*"          " "             "*"          "*"         
## 151  ( 1 ) "*"          " "             "*"          "*"         
##            NeighborhoodBlueste NeighborhoodBrDale NeighborhoodBrkSide
## 1  ( 1 )   " "                 " "                " "                
## 2  ( 1 )   " "                 " "                " "                
## 3  ( 1 )   " "                 " "                " "                
## 4  ( 1 )   " "                 " "                " "                
## 5  ( 1 )   " "                 " "                " "                
## 6  ( 1 )   " "                 " "                " "                
## 7  ( 1 )   " "                 " "                " "                
## 8  ( 1 )   " "                 " "                " "                
## 9  ( 1 )   " "                 " "                " "                
## 10  ( 1 )  " "                 " "                " "                
## 11  ( 1 )  " "                 " "                " "                
## 12  ( 1 )  " "                 " "                " "                
## 13  ( 1 )  " "                 " "                " "                
## 14  ( 1 )  " "                 " "                " "                
## 15  ( 1 )  " "                 " "                " "                
## 16  ( 1 )  " "                 " "                " "                
## 17  ( 1 )  " "                 " "                " "                
## 18  ( 1 )  " "                 " "                " "                
## 19  ( 1 )  " "                 " "                " "                
## 20  ( 1 )  " "                 " "                " "                
## 21  ( 1 )  " "                 " "                " "                
## 22  ( 1 )  " "                 " "                " "                
## 23  ( 1 )  " "                 " "                " "                
## 24  ( 1 )  " "                 " "                " "                
## 25  ( 1 )  " "                 " "                " "                
## 26  ( 1 )  " "                 " "                " "                
## 27  ( 1 )  " "                 " "                " "                
## 28  ( 1 )  " "                 " "                " "                
## 29  ( 1 )  " "                 " "                " "                
## 30  ( 1 )  " "                 " "                " "                
## 31  ( 1 )  " "                 " "                " "                
## 32  ( 1 )  " "                 " "                " "                
## 33  ( 1 )  " "                 " "                " "                
## 34  ( 1 )  " "                 " "                " "                
## 35  ( 1 )  " "                 " "                " "                
## 36  ( 1 )  " "                 " "                " "                
## 37  ( 1 )  " "                 " "                " "                
## 38  ( 1 )  " "                 " "                " "                
## 39  ( 1 )  " "                 " "                " "                
## 40  ( 1 )  " "                 " "                " "                
## 41  ( 1 )  " "                 " "                " "                
## 42  ( 1 )  " "                 " "                "*"                
## 43  ( 1 )  " "                 " "                "*"                
## 44  ( 1 )  " "                 " "                "*"                
## 45  ( 1 )  " "                 " "                "*"                
## 46  ( 1 )  " "                 " "                "*"                
## 47  ( 1 )  " "                 " "                "*"                
## 48  ( 1 )  " "                 " "                "*"                
## 49  ( 1 )  " "                 " "                "*"                
## 50  ( 1 )  " "                 " "                "*"                
## 51  ( 1 )  " "                 " "                "*"                
## 52  ( 1 )  " "                 " "                "*"                
## 53  ( 1 )  " "                 " "                "*"                
## 54  ( 1 )  " "                 " "                "*"                
## 55  ( 1 )  " "                 " "                "*"                
## 56  ( 1 )  " "                 " "                "*"                
## 57  ( 1 )  " "                 " "                "*"                
## 58  ( 1 )  " "                 " "                "*"                
## 59  ( 1 )  " "                 " "                "*"                
## 60  ( 1 )  " "                 " "                "*"                
## 61  ( 1 )  " "                 " "                "*"                
## 62  ( 1 )  " "                 " "                "*"                
## 63  ( 1 )  " "                 "*"                "*"                
## 64  ( 1 )  " "                 "*"                "*"                
## 65  ( 1 )  " "                 "*"                "*"                
## 66  ( 1 )  " "                 "*"                "*"                
## 67  ( 1 )  " "                 "*"                "*"                
## 68  ( 1 )  " "                 "*"                "*"                
## 69  ( 1 )  " "                 "*"                "*"                
## 70  ( 1 )  " "                 "*"                "*"                
## 71  ( 1 )  " "                 "*"                "*"                
## 72  ( 1 )  " "                 "*"                "*"                
## 73  ( 1 )  " "                 "*"                "*"                
## 74  ( 1 )  " "                 "*"                "*"                
## 75  ( 1 )  " "                 "*"                "*"                
## 76  ( 1 )  " "                 "*"                "*"                
## 77  ( 1 )  " "                 "*"                "*"                
## 78  ( 1 )  " "                 "*"                "*"                
## 79  ( 1 )  " "                 "*"                "*"                
## 80  ( 1 )  " "                 "*"                "*"                
## 81  ( 1 )  " "                 "*"                "*"                
## 82  ( 1 )  " "                 "*"                "*"                
## 83  ( 1 )  " "                 "*"                "*"                
## 84  ( 1 )  " "                 "*"                "*"                
## 85  ( 1 )  " "                 "*"                "*"                
## 86  ( 1 )  " "                 "*"                "*"                
## 87  ( 1 )  " "                 "*"                "*"                
## 88  ( 1 )  " "                 "*"                "*"                
## 89  ( 1 )  " "                 "*"                "*"                
## 90  ( 1 )  " "                 "*"                "*"                
## 91  ( 1 )  " "                 "*"                "*"                
## 92  ( 1 )  " "                 "*"                "*"                
## 93  ( 1 )  " "                 "*"                "*"                
## 94  ( 1 )  " "                 "*"                "*"                
## 95  ( 1 )  " "                 "*"                "*"                
## 96  ( 1 )  " "                 "*"                "*"                
## 97  ( 1 )  " "                 "*"                "*"                
## 98  ( 1 )  " "                 "*"                "*"                
## 99  ( 1 )  " "                 "*"                "*"                
## 100  ( 1 ) " "                 "*"                "*"                
## 101  ( 1 ) " "                 "*"                "*"                
## 102  ( 1 ) " "                 "*"                "*"                
## 103  ( 1 ) " "                 "*"                "*"                
## 104  ( 1 ) " "                 "*"                "*"                
## 105  ( 1 ) " "                 "*"                "*"                
## 106  ( 1 ) " "                 "*"                "*"                
## 107  ( 1 ) " "                 "*"                "*"                
## 108  ( 1 ) " "                 "*"                "*"                
## 109  ( 1 ) " "                 "*"                "*"                
## 110  ( 1 ) " "                 "*"                "*"                
## 111  ( 1 ) " "                 "*"                "*"                
## 112  ( 1 ) " "                 "*"                "*"                
## 113  ( 1 ) " "                 "*"                "*"                
## 114  ( 1 ) " "                 "*"                "*"                
## 115  ( 1 ) " "                 "*"                "*"                
## 116  ( 1 ) " "                 "*"                "*"                
## 117  ( 1 ) " "                 "*"                "*"                
## 118  ( 1 ) " "                 "*"                "*"                
## 119  ( 1 ) " "                 "*"                "*"                
## 120  ( 1 ) " "                 "*"                "*"                
## 121  ( 1 ) " "                 "*"                "*"                
## 122  ( 1 ) " "                 "*"                "*"                
## 123  ( 1 ) " "                 "*"                "*"                
## 124  ( 1 ) " "                 "*"                "*"                
## 125  ( 1 ) " "                 "*"                "*"                
## 126  ( 1 ) " "                 "*"                "*"                
## 127  ( 1 ) " "                 "*"                "*"                
## 128  ( 1 ) " "                 "*"                "*"                
## 129  ( 1 ) " "                 "*"                "*"                
## 130  ( 1 ) " "                 "*"                "*"                
## 131  ( 1 ) " "                 "*"                "*"                
## 132  ( 1 ) " "                 "*"                "*"                
## 133  ( 1 ) " "                 "*"                "*"                
## 134  ( 1 ) " "                 "*"                "*"                
## 135  ( 1 ) " "                 "*"                "*"                
## 136  ( 1 ) " "                 "*"                "*"                
## 137  ( 1 ) " "                 "*"                "*"                
## 138  ( 1 ) " "                 "*"                "*"                
## 139  ( 1 ) " "                 "*"                "*"                
## 140  ( 1 ) " "                 "*"                "*"                
## 141  ( 1 ) " "                 "*"                "*"                
## 142  ( 1 ) " "                 "*"                "*"                
## 143  ( 1 ) " "                 "*"                "*"                
## 144  ( 1 ) " "                 "*"                "*"                
## 145  ( 1 ) " "                 "*"                "*"                
## 146  ( 1 ) " "                 "*"                "*"                
## 147  ( 1 ) " "                 "*"                "*"                
## 148  ( 1 ) " "                 "*"                "*"                
## 149  ( 1 ) " "                 "*"                "*"                
## 150  ( 1 ) "*"                 "*"                "*"                
## 151  ( 1 ) "*"                 "*"                "*"                
##            NeighborhoodClearCr NeighborhoodCollgCr NeighborhoodCrawfor
## 1  ( 1 )   " "                 " "                 " "                
## 2  ( 1 )   " "                 " "                 " "                
## 3  ( 1 )   " "                 " "                 " "                
## 4  ( 1 )   " "                 " "                 " "                
## 5  ( 1 )   " "                 " "                 " "                
## 6  ( 1 )   " "                 " "                 " "                
## 7  ( 1 )   " "                 " "                 " "                
## 8  ( 1 )   " "                 " "                 " "                
## 9  ( 1 )   " "                 " "                 " "                
## 10  ( 1 )  " "                 " "                 " "                
## 11  ( 1 )  " "                 " "                 " "                
## 12  ( 1 )  " "                 " "                 " "                
## 13  ( 1 )  " "                 " "                 " "                
## 14  ( 1 )  " "                 " "                 " "                
## 15  ( 1 )  " "                 " "                 " "                
## 16  ( 1 )  " "                 " "                 "*"                
## 17  ( 1 )  " "                 " "                 "*"                
## 18  ( 1 )  " "                 " "                 "*"                
## 19  ( 1 )  " "                 " "                 "*"                
## 20  ( 1 )  " "                 " "                 "*"                
## 21  ( 1 )  " "                 " "                 "*"                
## 22  ( 1 )  " "                 " "                 "*"                
## 23  ( 1 )  " "                 " "                 "*"                
## 24  ( 1 )  " "                 " "                 "*"                
## 25  ( 1 )  " "                 " "                 "*"                
## 26  ( 1 )  " "                 " "                 "*"                
## 27  ( 1 )  " "                 " "                 "*"                
## 28  ( 1 )  " "                 " "                 "*"                
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## 30  ( 1 )  " "                 " "                 "*"                
## 31  ( 1 )  " "                 " "                 "*"                
## 32  ( 1 )  " "                 " "                 "*"                
## 33  ( 1 )  " "                 " "                 "*"                
## 34  ( 1 )  " "                 " "                 "*"                
## 35  ( 1 )  " "                 " "                 "*"                
## 36  ( 1 )  " "                 " "                 "*"                
## 37  ( 1 )  " "                 " "                 "*"                
## 38  ( 1 )  " "                 " "                 "*"                
## 39  ( 1 )  " "                 " "                 "*"                
## 40  ( 1 )  " "                 " "                 "*"                
## 41  ( 1 )  " "                 " "                 "*"                
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## 44  ( 1 )  " "                 " "                 "*"                
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## 48  ( 1 )  " "                 " "                 "*"                
## 49  ( 1 )  " "                 " "                 "*"                
## 50  ( 1 )  " "                 " "                 "*"                
## 51  ( 1 )  " "                 " "                 "*"                
## 52  ( 1 )  " "                 " "                 "*"                
## 53  ( 1 )  " "                 " "                 "*"                
## 54  ( 1 )  " "                 " "                 "*"                
## 55  ( 1 )  " "                 " "                 "*"                
## 56  ( 1 )  " "                 " "                 "*"                
## 57  ( 1 )  " "                 " "                 "*"                
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## 59  ( 1 )  " "                 " "                 "*"                
## 60  ( 1 )  " "                 " "                 "*"                
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## 62  ( 1 )  " "                 " "                 "*"                
## 63  ( 1 )  " "                 " "                 "*"                
## 64  ( 1 )  " "                 " "                 "*"                
## 65  ( 1 )  " "                 " "                 "*"                
## 66  ( 1 )  " "                 " "                 "*"                
## 67  ( 1 )  " "                 " "                 "*"                
## 68  ( 1 )  " "                 " "                 "*"                
## 69  ( 1 )  " "                 " "                 "*"                
## 70  ( 1 )  " "                 " "                 "*"                
## 71  ( 1 )  " "                 " "                 "*"                
## 72  ( 1 )  " "                 " "                 "*"                
## 73  ( 1 )  " "                 " "                 "*"                
## 74  ( 1 )  " "                 " "                 "*"                
## 75  ( 1 )  " "                 " "                 "*"                
## 76  ( 1 )  " "                 " "                 "*"                
## 77  ( 1 )  " "                 " "                 "*"                
## 78  ( 1 )  " "                 " "                 "*"                
## 79  ( 1 )  " "                 " "                 "*"                
## 80  ( 1 )  " "                 " "                 "*"                
## 81  ( 1 )  " "                 " "                 "*"                
## 82  ( 1 )  " "                 " "                 "*"                
## 83  ( 1 )  " "                 " "                 "*"                
## 84  ( 1 )  " "                 " "                 "*"                
## 85  ( 1 )  " "                 " "                 "*"                
## 86  ( 1 )  " "                 " "                 "*"                
## 87  ( 1 )  " "                 " "                 "*"                
## 88  ( 1 )  " "                 " "                 "*"                
## 89  ( 1 )  " "                 " "                 "*"                
## 90  ( 1 )  " "                 " "                 "*"                
## 91  ( 1 )  " "                 " "                 "*"                
## 92  ( 1 )  " "                 " "                 "*"                
## 93  ( 1 )  " "                 " "                 "*"                
## 94  ( 1 )  " "                 " "                 "*"                
## 95  ( 1 )  " "                 " "                 "*"                
## 96  ( 1 )  " "                 " "                 "*"                
## 97  ( 1 )  " "                 " "                 "*"                
## 98  ( 1 )  " "                 " "                 "*"                
## 99  ( 1 )  " "                 " "                 "*"                
## 100  ( 1 ) " "                 " "                 "*"                
## 101  ( 1 ) " "                 " "                 "*"                
## 102  ( 1 ) " "                 " "                 "*"                
## 103  ( 1 ) " "                 " "                 "*"                
## 104  ( 1 ) " "                 " "                 "*"                
## 105  ( 1 ) " "                 " "                 "*"                
## 106  ( 1 ) " "                 " "                 "*"                
## 107  ( 1 ) " "                 " "                 "*"                
## 108  ( 1 ) " "                 " "                 "*"                
## 109  ( 1 ) " "                 "*"                 "*"                
## 110  ( 1 ) " "                 "*"                 "*"                
## 111  ( 1 ) " "                 "*"                 "*"                
## 112  ( 1 ) " "                 "*"                 "*"                
## 113  ( 1 ) " "                 "*"                 "*"                
## 114  ( 1 ) " "                 "*"                 "*"                
## 115  ( 1 ) " "                 "*"                 "*"                
## 116  ( 1 ) " "                 "*"                 "*"                
## 117  ( 1 ) " "                 "*"                 "*"                
## 118  ( 1 ) " "                 "*"                 "*"                
## 119  ( 1 ) " "                 "*"                 "*"                
## 120  ( 1 ) " "                 "*"                 "*"                
## 121  ( 1 ) " "                 "*"                 "*"                
## 122  ( 1 ) " "                 "*"                 "*"                
## 123  ( 1 ) " "                 "*"                 "*"                
## 124  ( 1 ) " "                 "*"                 "*"                
## 125  ( 1 ) " "                 "*"                 "*"                
## 126  ( 1 ) " "                 "*"                 "*"                
## 127  ( 1 ) " "                 "*"                 "*"                
## 128  ( 1 ) " "                 "*"                 "*"                
## 129  ( 1 ) "*"                 "*"                 "*"                
## 130  ( 1 ) "*"                 "*"                 "*"                
## 131  ( 1 ) "*"                 "*"                 "*"                
## 132  ( 1 ) "*"                 "*"                 "*"                
## 133  ( 1 ) "*"                 "*"                 "*"                
## 134  ( 1 ) "*"                 "*"                 "*"                
## 135  ( 1 ) "*"                 "*"                 "*"                
## 136  ( 1 ) "*"                 "*"                 "*"                
## 137  ( 1 ) "*"                 "*"                 "*"                
## 138  ( 1 ) "*"                 "*"                 "*"                
## 139  ( 1 ) "*"                 "*"                 "*"                
## 140  ( 1 ) "*"                 "*"                 "*"                
## 141  ( 1 ) "*"                 "*"                 "*"                
## 142  ( 1 ) "*"                 "*"                 "*"                
## 143  ( 1 ) "*"                 "*"                 "*"                
## 144  ( 1 ) "*"                 "*"                 "*"                
## 145  ( 1 ) "*"                 "*"                 "*"                
## 146  ( 1 ) "*"                 "*"                 "*"                
## 147  ( 1 ) "*"                 "*"                 "*"                
## 148  ( 1 ) "*"                 "*"                 "*"                
## 149  ( 1 ) "*"                 "*"                 "*"                
## 150  ( 1 ) "*"                 "*"                 "*"                
## 151  ( 1 ) "*"                 "*"                 "*"                
##            NeighborhoodEdwards NeighborhoodGilbert NeighborhoodIDOTRR
## 1  ( 1 )   " "                 " "                 " "               
## 2  ( 1 )   " "                 " "                 " "               
## 3  ( 1 )   " "                 " "                 " "               
## 4  ( 1 )   " "                 " "                 " "               
## 5  ( 1 )   " "                 " "                 " "               
## 6  ( 1 )   " "                 " "                 " "               
## 7  ( 1 )   " "                 " "                 " "               
## 8  ( 1 )   " "                 " "                 " "               
## 9  ( 1 )   " "                 " "                 " "               
## 10  ( 1 )  " "                 " "                 " "               
## 11  ( 1 )  " "                 " "                 " "               
## 12  ( 1 )  " "                 " "                 " "               
## 13  ( 1 )  " "                 " "                 " "               
## 14  ( 1 )  " "                 " "                 " "               
## 15  ( 1 )  " "                 " "                 " "               
## 16  ( 1 )  " "                 " "                 " "               
## 17  ( 1 )  " "                 " "                 " "               
## 18  ( 1 )  " "                 " "                 " "               
## 19  ( 1 )  " "                 " "                 " "               
## 20  ( 1 )  " "                 " "                 " "               
## 21  ( 1 )  " "                 " "                 " "               
## 22  ( 1 )  " "                 " "                 " "               
## 23  ( 1 )  " "                 " "                 " "               
## 24  ( 1 )  " "                 " "                 " "               
## 25  ( 1 )  " "                 " "                 " "               
## 26  ( 1 )  " "                 " "                 " "               
## 27  ( 1 )  " "                 " "                 " "               
## 28  ( 1 )  " "                 " "                 " "               
## 29  ( 1 )  " "                 " "                 " "               
## 30  ( 1 )  " "                 " "                 " "               
## 31  ( 1 )  " "                 " "                 " "               
## 32  ( 1 )  " "                 " "                 " "               
## 33  ( 1 )  " "                 " "                 " "               
## 34  ( 1 )  " "                 " "                 " "               
## 35  ( 1 )  " "                 " "                 " "               
## 36  ( 1 )  " "                 " "                 " "               
## 37  ( 1 )  " "                 " "                 " "               
## 38  ( 1 )  " "                 " "                 " "               
## 39  ( 1 )  " "                 " "                 " "               
## 40  ( 1 )  " "                 " "                 " "               
## 41  ( 1 )  " "                 " "                 " "               
## 42  ( 1 )  " "                 " "                 " "               
## 43  ( 1 )  " "                 " "                 " "               
## 44  ( 1 )  " "                 " "                 " "               
## 45  ( 1 )  " "                 " "                 " "               
## 46  ( 1 )  " "                 " "                 " "               
## 47  ( 1 )  " "                 " "                 " "               
## 48  ( 1 )  " "                 " "                 " "               
## 49  ( 1 )  " "                 " "                 " "               
## 50  ( 1 )  " "                 " "                 " "               
## 51  ( 1 )  " "                 " "                 " "               
## 52  ( 1 )  " "                 " "                 " "               
## 53  ( 1 )  " "                 " "                 " "               
## 54  ( 1 )  " "                 " "                 " "               
## 55  ( 1 )  " "                 " "                 " "               
## 56  ( 1 )  " "                 " "                 " "               
## 57  ( 1 )  " "                 " "                 " "               
## 58  ( 1 )  " "                 " "                 " "               
## 59  ( 1 )  " "                 " "                 " "               
## 60  ( 1 )  " "                 " "                 " "               
## 61  ( 1 )  " "                 " "                 " "               
## 62  ( 1 )  " "                 " "                 " "               
## 63  ( 1 )  " "                 " "                 " "               
## 64  ( 1 )  " "                 " "                 " "               
## 65  ( 1 )  " "                 " "                 " "               
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## 98  ( 1 )  " "                 " "                 " "               
## 99  ( 1 )  " "                 " "                 " "               
## 100  ( 1 ) " "                 " "                 " "               
## 101  ( 1 ) " "                 " "                 " "               
## 102  ( 1 ) " "                 " "                 " "               
## 103  ( 1 ) " "                 " "                 " "               
## 104  ( 1 ) " "                 " "                 " "               
## 105  ( 1 ) " "                 "*"                 " "               
## 106  ( 1 ) "*"                 "*"                 " "               
## 107  ( 1 ) "*"                 "*"                 " "               
## 108  ( 1 ) "*"                 "*"                 " "               
## 109  ( 1 ) "*"                 "*"                 " "               
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## 112  ( 1 ) "*"                 "*"                 " "               
## 113  ( 1 ) "*"                 "*"                 " "               
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## 127  ( 1 ) "*"                 "*"                 " "               
## 128  ( 1 ) "*"                 "*"                 " "               
## 129  ( 1 ) "*"                 "*"                 " "               
## 130  ( 1 ) "*"                 "*"                 " "               
## 131  ( 1 ) "*"                 "*"                 " "               
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## 133  ( 1 ) "*"                 "*"                 " "               
## 134  ( 1 ) "*"                 "*"                 " "               
## 135  ( 1 ) "*"                 "*"                 " "               
## 136  ( 1 ) "*"                 "*"                 " "               
## 137  ( 1 ) "*"                 "*"                 " "               
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## 149  ( 1 ) "*"                 "*"                 " "               
## 150  ( 1 ) "*"                 "*"                 " "               
## 151  ( 1 ) "*"                 "*"                 " "               
##            NeighborhoodMeadowV NeighborhoodMitchel NeighborhoodNAmes
## 1  ( 1 )   " "                 " "                 " "              
## 2  ( 1 )   " "                 " "                 " "              
## 3  ( 1 )   " "                 " "                 " "              
## 4  ( 1 )   " "                 " "                 " "              
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## 6  ( 1 )   " "                 " "                 " "              
## 7  ( 1 )   " "                 " "                 " "              
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## 10  ( 1 )  " "                 " "                 " "              
## 11  ( 1 )  " "                 " "                 " "              
## 12  ( 1 )  " "                 " "                 " "              
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## 14  ( 1 )  " "                 " "                 " "              
## 15  ( 1 )  " "                 " "                 " "              
## 16  ( 1 )  " "                 " "                 " "              
## 17  ( 1 )  " "                 " "                 " "              
## 18  ( 1 )  " "                 " "                 " "              
## 19  ( 1 )  " "                 " "                 " "              
## 20  ( 1 )  " "                 " "                 " "              
## 21  ( 1 )  " "                 " "                 " "              
## 22  ( 1 )  " "                 " "                 " "              
## 23  ( 1 )  " "                 " "                 " "              
## 24  ( 1 )  " "                 " "                 " "              
## 25  ( 1 )  " "                 " "                 " "              
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## 32  ( 1 )  " "                 " "                 " "              
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## 34  ( 1 )  " "                 " "                 " "              
## 35  ( 1 )  " "                 " "                 " "              
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## 50  ( 1 )  " "                 " "                 " "              
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## 67  ( 1 )  " "                 " "                 " "              
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## 71  ( 1 )  " "                 " "                 " "              
## 72  ( 1 )  " "                 " "                 " "              
## 73  ( 1 )  " "                 " "                 " "              
## 74  ( 1 )  " "                 " "                 " "              
## 75  ( 1 )  " "                 " "                 " "              
## 76  ( 1 )  " "                 " "                 " "              
## 77  ( 1 )  " "                 " "                 " "              
## 78  ( 1 )  " "                 "*"                 " "              
## 79  ( 1 )  " "                 "*"                 " "              
## 80  ( 1 )  " "                 "*"                 " "              
## 81  ( 1 )  " "                 "*"                 " "              
## 82  ( 1 )  " "                 "*"                 " "              
## 83  ( 1 )  " "                 "*"                 " "              
## 84  ( 1 )  " "                 "*"                 " "              
## 85  ( 1 )  " "                 "*"                 " "              
## 86  ( 1 )  " "                 "*"                 " "              
## 87  ( 1 )  " "                 "*"                 " "              
## 88  ( 1 )  " "                 "*"                 " "              
## 89  ( 1 )  " "                 "*"                 " "              
## 90  ( 1 )  " "                 "*"                 " "              
## 91  ( 1 )  " "                 "*"                 " "              
## 92  ( 1 )  " "                 "*"                 " "              
## 93  ( 1 )  " "                 "*"                 " "              
## 94  ( 1 )  " "                 "*"                 " "              
## 95  ( 1 )  " "                 "*"                 " "              
## 96  ( 1 )  " "                 "*"                 " "              
## 97  ( 1 )  " "                 "*"                 " "              
## 98  ( 1 )  " "                 "*"                 " "              
## 99  ( 1 )  " "                 "*"                 " "              
## 100  ( 1 ) " "                 "*"                 " "              
## 101  ( 1 ) " "                 "*"                 " "              
## 102  ( 1 ) " "                 "*"                 " "              
## 103  ( 1 ) " "                 "*"                 " "              
## 104  ( 1 ) " "                 "*"                 " "              
## 105  ( 1 ) " "                 "*"                 " "              
## 106  ( 1 ) " "                 "*"                 " "              
## 107  ( 1 ) " "                 "*"                 " "              
## 108  ( 1 ) " "                 "*"                 "*"              
## 109  ( 1 ) " "                 "*"                 "*"              
## 110  ( 1 ) " "                 "*"                 "*"              
## 111  ( 1 ) " "                 "*"                 "*"              
## 112  ( 1 ) " "                 "*"                 "*"              
## 113  ( 1 ) " "                 "*"                 "*"              
## 114  ( 1 ) " "                 "*"                 "*"              
## 115  ( 1 ) " "                 "*"                 "*"              
## 116  ( 1 ) " "                 "*"                 "*"              
## 117  ( 1 ) " "                 "*"                 "*"              
## 118  ( 1 ) " "                 "*"                 "*"              
## 119  ( 1 ) " "                 "*"                 "*"              
## 120  ( 1 ) " "                 "*"                 "*"              
## 121  ( 1 ) " "                 "*"                 "*"              
## 122  ( 1 ) " "                 "*"                 "*"              
## 123  ( 1 ) " "                 "*"                 "*"              
## 124  ( 1 ) " "                 "*"                 "*"              
## 125  ( 1 ) " "                 "*"                 "*"              
## 126  ( 1 ) " "                 "*"                 "*"              
## 127  ( 1 ) " "                 "*"                 "*"              
## 128  ( 1 ) " "                 "*"                 "*"              
## 129  ( 1 ) " "                 "*"                 "*"              
## 130  ( 1 ) " "                 "*"                 "*"              
## 131  ( 1 ) " "                 "*"                 "*"              
## 132  ( 1 ) " "                 "*"                 "*"              
## 133  ( 1 ) " "                 "*"                 "*"              
## 134  ( 1 ) " "                 "*"                 "*"              
## 135  ( 1 ) " "                 "*"                 "*"              
## 136  ( 1 ) " "                 "*"                 "*"              
## 137  ( 1 ) " "                 "*"                 "*"              
## 138  ( 1 ) " "                 "*"                 "*"              
## 139  ( 1 ) " "                 "*"                 "*"              
## 140  ( 1 ) " "                 "*"                 "*"              
## 141  ( 1 ) " "                 "*"                 "*"              
## 142  ( 1 ) " "                 "*"                 "*"              
## 143  ( 1 ) " "                 "*"                 "*"              
## 144  ( 1 ) " "                 "*"                 "*"              
## 145  ( 1 ) " "                 "*"                 "*"              
## 146  ( 1 ) " "                 "*"                 "*"              
## 147  ( 1 ) " "                 "*"                 "*"              
## 148  ( 1 ) " "                 "*"                 "*"              
## 149  ( 1 ) " "                 "*"                 "*"              
## 150  ( 1 ) " "                 "*"                 "*"              
## 151  ( 1 ) " "                 "*"                 "*"              
##            NeighborhoodNoRidge NeighborhoodNPkVill NeighborhoodNridgHt
## 1  ( 1 )   " "                 " "                 " "                
## 2  ( 1 )   " "                 " "                 " "                
## 3  ( 1 )   " "                 " "                 " "                
## 4  ( 1 )   " "                 " "                 " "                
## 5  ( 1 )   " "                 " "                 " "                
## 6  ( 1 )   " "                 " "                 " "                
## 7  ( 1 )   " "                 " "                 " "                
## 8  ( 1 )   " "                 " "                 " "                
## 9  ( 1 )   " "                 " "                 " "                
## 10  ( 1 )  " "                 " "                 "*"                
## 11  ( 1 )  "*"                 " "                 "*"                
## 12  ( 1 )  "*"                 " "                 "*"                
## 13  ( 1 )  "*"                 " "                 "*"                
## 14  ( 1 )  "*"                 " "                 "*"                
## 15  ( 1 )  "*"                 " "                 "*"                
## 16  ( 1 )  "*"                 " "                 "*"                
## 17  ( 1 )  "*"                 " "                 "*"                
## 18  ( 1 )  "*"                 " "                 "*"                
## 19  ( 1 )  "*"                 " "                 "*"                
## 20  ( 1 )  "*"                 " "                 "*"                
## 21  ( 1 )  "*"                 " "                 "*"                
## 22  ( 1 )  "*"                 " "                 "*"                
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## 24  ( 1 )  "*"                 " "                 "*"                
## 25  ( 1 )  "*"                 " "                 "*"                
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## 35  ( 1 )  "*"                 " "                 "*"                
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## 67  ( 1 )  "*"                 " "                 "*"                
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## 75  ( 1 )  "*"                 "*"                 "*"                
## 76  ( 1 )  "*"                 "*"                 "*"                
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## 80  ( 1 )  "*"                 "*"                 "*"                
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## 83  ( 1 )  "*"                 "*"                 "*"                
## 84  ( 1 )  "*"                 "*"                 "*"                
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## 86  ( 1 )  "*"                 "*"                 "*"                
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## 94  ( 1 )  "*"                 "*"                 "*"                
## 95  ( 1 )  "*"                 "*"                 "*"                
## 96  ( 1 )  "*"                 "*"                 "*"                
## 97  ( 1 )  "*"                 "*"                 "*"                
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## 99  ( 1 )  "*"                 "*"                 "*"                
## 100  ( 1 ) "*"                 "*"                 "*"                
## 101  ( 1 ) "*"                 "*"                 "*"                
## 102  ( 1 ) "*"                 "*"                 "*"                
## 103  ( 1 ) "*"                 "*"                 "*"                
## 104  ( 1 ) "*"                 "*"                 "*"                
## 105  ( 1 ) "*"                 "*"                 "*"                
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## 108  ( 1 ) "*"                 "*"                 "*"                
## 109  ( 1 ) "*"                 "*"                 "*"                
## 110  ( 1 ) "*"                 "*"                 "*"                
## 111  ( 1 ) "*"                 "*"                 "*"                
## 112  ( 1 ) "*"                 "*"                 "*"                
## 113  ( 1 ) "*"                 "*"                 "*"                
## 114  ( 1 ) "*"                 "*"                 "*"                
## 115  ( 1 ) "*"                 "*"                 "*"                
## 116  ( 1 ) "*"                 "*"                 "*"                
## 117  ( 1 ) "*"                 "*"                 "*"                
## 118  ( 1 ) "*"                 "*"                 "*"                
## 119  ( 1 ) "*"                 "*"                 "*"                
## 120  ( 1 ) "*"                 "*"                 "*"                
## 121  ( 1 ) "*"                 "*"                 "*"                
## 122  ( 1 ) "*"                 "*"                 "*"                
## 123  ( 1 ) "*"                 "*"                 "*"                
## 124  ( 1 ) "*"                 "*"                 "*"                
## 125  ( 1 ) "*"                 "*"                 "*"                
## 126  ( 1 ) "*"                 "*"                 "*"                
## 127  ( 1 ) "*"                 "*"                 "*"                
## 128  ( 1 ) "*"                 "*"                 "*"                
## 129  ( 1 ) "*"                 "*"                 "*"                
## 130  ( 1 ) "*"                 "*"                 "*"                
## 131  ( 1 ) "*"                 "*"                 "*"                
## 132  ( 1 ) "*"                 "*"                 "*"                
## 133  ( 1 ) "*"                 "*"                 "*"                
## 134  ( 1 ) "*"                 "*"                 "*"                
## 135  ( 1 ) "*"                 "*"                 "*"                
## 136  ( 1 ) "*"                 "*"                 "*"                
## 137  ( 1 ) "*"                 "*"                 "*"                
## 138  ( 1 ) "*"                 "*"                 "*"                
## 139  ( 1 ) "*"                 "*"                 "*"                
## 140  ( 1 ) "*"                 "*"                 "*"                
## 141  ( 1 ) "*"                 "*"                 "*"                
## 142  ( 1 ) "*"                 "*"                 "*"                
## 143  ( 1 ) "*"                 "*"                 "*"                
## 144  ( 1 ) "*"                 "*"                 "*"                
## 145  ( 1 ) "*"                 "*"                 "*"                
## 146  ( 1 ) "*"                 "*"                 "*"                
## 147  ( 1 ) "*"                 "*"                 "*"                
## 148  ( 1 ) "*"                 "*"                 "*"                
## 149  ( 1 ) "*"                 "*"                 "*"                
## 150  ( 1 ) "*"                 "*"                 "*"                
## 151  ( 1 ) "*"                 "*"                 "*"                
##            NeighborhoodNWAmes NeighborhoodOldTown NeighborhoodSawyer
## 1  ( 1 )   " "                " "                 " "               
## 2  ( 1 )   " "                " "                 " "               
## 3  ( 1 )   " "                " "                 " "               
## 4  ( 1 )   " "                " "                 " "               
## 5  ( 1 )   " "                " "                 " "               
## 6  ( 1 )   " "                " "                 " "               
## 7  ( 1 )   " "                " "                 " "               
## 8  ( 1 )   " "                " "                 " "               
## 9  ( 1 )   " "                " "                 " "               
## 10  ( 1 )  " "                " "                 " "               
## 11  ( 1 )  " "                " "                 " "               
## 12  ( 1 )  " "                " "                 " "               
## 13  ( 1 )  " "                " "                 " "               
## 14  ( 1 )  " "                " "                 " "               
## 15  ( 1 )  " "                " "                 " "               
## 16  ( 1 )  " "                " "                 " "               
## 17  ( 1 )  " "                " "                 " "               
## 18  ( 1 )  " "                " "                 " "               
## 19  ( 1 )  " "                " "                 " "               
## 20  ( 1 )  " "                " "                 " "               
## 21  ( 1 )  " "                " "                 " "               
## 22  ( 1 )  " "                " "                 " "               
## 23  ( 1 )  " "                " "                 " "               
## 24  ( 1 )  " "                " "                 " "               
## 25  ( 1 )  " "                " "                 " "               
## 26  ( 1 )  " "                " "                 " "               
## 27  ( 1 )  " "                " "                 " "               
## 28  ( 1 )  " "                " "                 " "               
## 29  ( 1 )  " "                " "                 " "               
## 30  ( 1 )  " "                " "                 " "               
## 31  ( 1 )  " "                " "                 " "               
## 32  ( 1 )  " "                " "                 " "               
## 33  ( 1 )  " "                " "                 " "               
## 34  ( 1 )  " "                " "                 " "               
## 35  ( 1 )  " "                " "                 " "               
## 36  ( 1 )  " "                " "                 " "               
## 37  ( 1 )  " "                " "                 " "               
## 38  ( 1 )  " "                " "                 " "               
## 39  ( 1 )  " "                " "                 " "               
## 40  ( 1 )  " "                " "                 " "               
## 41  ( 1 )  " "                " "                 " "               
## 42  ( 1 )  " "                " "                 " "               
## 43  ( 1 )  " "                " "                 " "               
## 44  ( 1 )  " "                " "                 " "               
## 45  ( 1 )  " "                " "                 " "               
## 46  ( 1 )  " "                " "                 " "               
## 47  ( 1 )  " "                " "                 " "               
## 48  ( 1 )  " "                " "                 " "               
## 49  ( 1 )  " "                " "                 " "               
## 50  ( 1 )  " "                " "                 " "               
## 51  ( 1 )  " "                " "                 " "               
## 52  ( 1 )  " "                " "                 " "               
## 53  ( 1 )  " "                " "                 " "               
## 54  ( 1 )  " "                " "                 " "               
## 55  ( 1 )  " "                " "                 " "               
## 56  ( 1 )  " "                " "                 " "               
## 57  ( 1 )  "*"                " "                 " "               
## 58  ( 1 )  "*"                " "                 " "               
## 59  ( 1 )  "*"                " "                 " "               
## 60  ( 1 )  "*"                " "                 " "               
## 61  ( 1 )  "*"                " "                 " "               
## 62  ( 1 )  "*"                " "                 " "               
## 63  ( 1 )  "*"                " "                 " "               
## 64  ( 1 )  "*"                " "                 " "               
## 65  ( 1 )  "*"                " "                 " "               
## 66  ( 1 )  "*"                " "                 " "               
## 67  ( 1 )  "*"                " "                 " "               
## 68  ( 1 )  "*"                " "                 " "               
## 69  ( 1 )  "*"                " "                 " "               
## 70  ( 1 )  "*"                " "                 " "               
## 71  ( 1 )  "*"                " "                 " "               
## 72  ( 1 )  "*"                " "                 " "               
## 73  ( 1 )  "*"                " "                 " "               
## 74  ( 1 )  "*"                " "                 " "               
## 75  ( 1 )  "*"                " "                 " "               
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## 77  ( 1 )  "*"                " "                 " "               
## 78  ( 1 )  "*"                " "                 " "               
## 79  ( 1 )  "*"                " "                 " "               
## 80  ( 1 )  "*"                " "                 " "               
## 81  ( 1 )  "*"                " "                 " "               
## 82  ( 1 )  "*"                " "                 " "               
## 83  ( 1 )  "*"                " "                 " "               
## 84  ( 1 )  "*"                " "                 " "               
## 85  ( 1 )  "*"                " "                 " "               
## 86  ( 1 )  "*"                " "                 " "               
## 87  ( 1 )  "*"                " "                 " "               
## 88  ( 1 )  "*"                " "                 "*"               
## 89  ( 1 )  "*"                " "                 "*"               
## 90  ( 1 )  "*"                " "                 "*"               
## 91  ( 1 )  "*"                " "                 "*"               
## 92  ( 1 )  "*"                " "                 "*"               
## 93  ( 1 )  "*"                " "                 "*"               
## 94  ( 1 )  "*"                " "                 "*"               
## 95  ( 1 )  "*"                " "                 "*"               
## 96  ( 1 )  "*"                " "                 "*"               
## 97  ( 1 )  "*"                " "                 "*"               
## 98  ( 1 )  "*"                " "                 "*"               
## 99  ( 1 )  "*"                " "                 "*"               
## 100  ( 1 ) "*"                " "                 "*"               
## 101  ( 1 ) "*"                " "                 "*"               
## 102  ( 1 ) "*"                " "                 "*"               
## 103  ( 1 ) "*"                " "                 "*"               
## 104  ( 1 ) "*"                " "                 "*"               
## 105  ( 1 ) "*"                " "                 "*"               
## 106  ( 1 ) "*"                " "                 "*"               
## 107  ( 1 ) "*"                " "                 "*"               
## 108  ( 1 ) "*"                " "                 "*"               
## 109  ( 1 ) "*"                " "                 "*"               
## 110  ( 1 ) "*"                " "                 "*"               
## 111  ( 1 ) "*"                "*"                 "*"               
## 112  ( 1 ) "*"                "*"                 "*"               
## 113  ( 1 ) "*"                "*"                 "*"               
## 114  ( 1 ) "*"                "*"                 "*"               
## 115  ( 1 ) "*"                "*"                 "*"               
## 116  ( 1 ) "*"                "*"                 "*"               
## 117  ( 1 ) "*"                "*"                 "*"               
## 118  ( 1 ) "*"                "*"                 "*"               
## 119  ( 1 ) "*"                "*"                 "*"               
## 120  ( 1 ) "*"                "*"                 "*"               
## 121  ( 1 ) "*"                "*"                 "*"               
## 122  ( 1 ) "*"                "*"                 "*"               
## 123  ( 1 ) "*"                "*"                 "*"               
## 124  ( 1 ) "*"                "*"                 "*"               
## 125  ( 1 ) "*"                "*"                 "*"               
## 126  ( 1 ) "*"                "*"                 "*"               
## 127  ( 1 ) "*"                "*"                 "*"               
## 128  ( 1 ) "*"                "*"                 "*"               
## 129  ( 1 ) "*"                "*"                 "*"               
## 130  ( 1 ) "*"                "*"                 "*"               
## 131  ( 1 ) "*"                "*"                 "*"               
## 132  ( 1 ) "*"                "*"                 "*"               
## 133  ( 1 ) "*"                "*"                 "*"               
## 134  ( 1 ) "*"                "*"                 "*"               
## 135  ( 1 ) "*"                "*"                 "*"               
## 136  ( 1 ) "*"                "*"                 "*"               
## 137  ( 1 ) "*"                "*"                 "*"               
## 138  ( 1 ) "*"                "*"                 "*"               
## 139  ( 1 ) "*"                "*"                 "*"               
## 140  ( 1 ) "*"                "*"                 "*"               
## 141  ( 1 ) "*"                "*"                 "*"               
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## 143  ( 1 ) "*"                "*"                 "*"               
## 144  ( 1 ) "*"                "*"                 "*"               
## 145  ( 1 ) "*"                "*"                 "*"               
## 146  ( 1 ) "*"                "*"                 "*"               
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## 148  ( 1 ) "*"                "*"                 "*"               
## 149  ( 1 ) "*"                "*"                 "*"               
## 150  ( 1 ) "*"                "*"                 "*"               
## 151  ( 1 ) "*"                "*"                 "*"               
##            NeighborhoodSawyerW NeighborhoodSomerst NeighborhoodStoneBr
## 1  ( 1 )   " "                 " "                 " "                
## 2  ( 1 )   " "                 " "                 " "                
## 3  ( 1 )   " "                 " "                 " "                
## 4  ( 1 )   " "                 " "                 " "                
## 5  ( 1 )   " "                 " "                 " "                
## 6  ( 1 )   " "                 " "                 " "                
## 7  ( 1 )   " "                 " "                 " "                
## 8  ( 1 )   " "                 " "                 " "                
## 9  ( 1 )   " "                 " "                 " "                
## 10  ( 1 )  " "                 " "                 " "                
## 11  ( 1 )  " "                 " "                 " "                
## 12  ( 1 )  " "                 " "                 "*"                
## 13  ( 1 )  " "                 " "                 "*"                
## 14  ( 1 )  " "                 " "                 "*"                
## 15  ( 1 )  " "                 " "                 "*"                
## 16  ( 1 )  " "                 " "                 "*"                
## 17  ( 1 )  " "                 " "                 "*"                
## 18  ( 1 )  " "                 " "                 "*"                
## 19  ( 1 )  " "                 " "                 "*"                
## 20  ( 1 )  " "                 " "                 "*"                
## 21  ( 1 )  " "                 " "                 "*"                
## 22  ( 1 )  " "                 " "                 "*"                
## 23  ( 1 )  " "                 "*"                 "*"                
## 24  ( 1 )  " "                 "*"                 "*"                
## 25  ( 1 )  " "                 "*"                 "*"                
## 26  ( 1 )  " "                 "*"                 "*"                
## 27  ( 1 )  " "                 "*"                 "*"                
## 28  ( 1 )  " "                 "*"                 "*"                
## 29  ( 1 )  " "                 "*"                 "*"                
## 30  ( 1 )  " "                 "*"                 "*"                
## 31  ( 1 )  " "                 "*"                 "*"                
## 32  ( 1 )  " "                 "*"                 "*"                
## 33  ( 1 )  " "                 "*"                 "*"                
## 34  ( 1 )  " "                 "*"                 "*"                
## 35  ( 1 )  " "                 "*"                 "*"                
## 36  ( 1 )  " "                 "*"                 "*"                
## 37  ( 1 )  " "                 "*"                 "*"                
## 38  ( 1 )  " "                 "*"                 "*"                
## 39  ( 1 )  " "                 "*"                 "*"                
## 40  ( 1 )  " "                 "*"                 "*"                
## 41  ( 1 )  " "                 "*"                 "*"                
## 42  ( 1 )  " "                 "*"                 "*"                
## 43  ( 1 )  " "                 "*"                 "*"                
## 44  ( 1 )  " "                 "*"                 "*"                
## 45  ( 1 )  " "                 "*"                 "*"                
## 46  ( 1 )  " "                 "*"                 "*"                
## 47  ( 1 )  " "                 "*"                 "*"                
## 48  ( 1 )  " "                 "*"                 "*"                
## 49  ( 1 )  " "                 "*"                 "*"                
## 50  ( 1 )  " "                 "*"                 "*"                
## 51  ( 1 )  " "                 "*"                 "*"                
## 52  ( 1 )  " "                 "*"                 "*"                
## 53  ( 1 )  " "                 "*"                 "*"                
## 54  ( 1 )  " "                 "*"                 "*"                
## 55  ( 1 )  " "                 "*"                 "*"                
## 56  ( 1 )  " "                 "*"                 "*"                
## 57  ( 1 )  " "                 "*"                 "*"                
## 58  ( 1 )  " "                 "*"                 "*"                
## 59  ( 1 )  " "                 "*"                 "*"                
## 60  ( 1 )  " "                 "*"                 "*"                
## 61  ( 1 )  " "                 "*"                 "*"                
## 62  ( 1 )  " "                 "*"                 "*"                
## 63  ( 1 )  " "                 "*"                 "*"                
## 64  ( 1 )  " "                 "*"                 "*"                
## 65  ( 1 )  " "                 "*"                 "*"                
## 66  ( 1 )  " "                 "*"                 "*"                
## 67  ( 1 )  " "                 "*"                 "*"                
## 68  ( 1 )  " "                 "*"                 "*"                
## 69  ( 1 )  " "                 "*"                 "*"                
## 70  ( 1 )  " "                 "*"                 "*"                
## 71  ( 1 )  " "                 "*"                 "*"                
## 72  ( 1 )  " "                 "*"                 "*"                
## 73  ( 1 )  " "                 "*"                 "*"                
## 74  ( 1 )  " "                 "*"                 "*"                
## 75  ( 1 )  " "                 "*"                 "*"                
## 76  ( 1 )  " "                 "*"                 "*"                
## 77  ( 1 )  " "                 "*"                 "*"                
## 78  ( 1 )  " "                 "*"                 "*"                
## 79  ( 1 )  " "                 "*"                 "*"                
## 80  ( 1 )  " "                 "*"                 "*"                
## 81  ( 1 )  " "                 "*"                 "*"                
## 82  ( 1 )  " "                 "*"                 "*"                
## 83  ( 1 )  " "                 "*"                 "*"                
## 84  ( 1 )  " "                 "*"                 "*"                
## 85  ( 1 )  " "                 "*"                 "*"                
## 86  ( 1 )  " "                 "*"                 "*"                
## 87  ( 1 )  " "                 "*"                 "*"                
## 88  ( 1 )  " "                 "*"                 "*"                
## 89  ( 1 )  " "                 "*"                 "*"                
## 90  ( 1 )  " "                 "*"                 "*"                
## 91  ( 1 )  " "                 "*"                 "*"                
## 92  ( 1 )  " "                 "*"                 "*"                
## 93  ( 1 )  " "                 "*"                 "*"                
## 94  ( 1 )  " "                 "*"                 "*"                
## 95  ( 1 )  " "                 "*"                 "*"                
## 96  ( 1 )  " "                 "*"                 "*"                
## 97  ( 1 )  " "                 "*"                 "*"                
## 98  ( 1 )  " "                 "*"                 "*"                
## 99  ( 1 )  " "                 "*"                 "*"                
## 100  ( 1 ) " "                 "*"                 "*"                
## 101  ( 1 ) " "                 "*"                 "*"                
## 102  ( 1 ) " "                 "*"                 "*"                
## 103  ( 1 ) " "                 "*"                 "*"                
## 104  ( 1 ) " "                 "*"                 "*"                
## 105  ( 1 ) " "                 "*"                 "*"                
## 106  ( 1 ) " "                 "*"                 "*"                
## 107  ( 1 ) " "                 "*"                 "*"                
## 108  ( 1 ) " "                 "*"                 "*"                
## 109  ( 1 ) " "                 "*"                 "*"                
## 110  ( 1 ) " "                 "*"                 "*"                
## 111  ( 1 ) " "                 "*"                 "*"                
## 112  ( 1 ) " "                 "*"                 "*"                
## 113  ( 1 ) " "                 "*"                 "*"                
## 114  ( 1 ) " "                 "*"                 "*"                
## 115  ( 1 ) " "                 "*"                 "*"                
## 116  ( 1 ) " "                 "*"                 "*"                
## 117  ( 1 ) " "                 "*"                 "*"                
## 118  ( 1 ) " "                 "*"                 "*"                
## 119  ( 1 ) " "                 "*"                 "*"                
## 120  ( 1 ) " "                 "*"                 "*"                
## 121  ( 1 ) " "                 "*"                 "*"                
## 122  ( 1 ) " "                 "*"                 "*"                
## 123  ( 1 ) " "                 "*"                 "*"                
## 124  ( 1 ) " "                 "*"                 "*"                
## 125  ( 1 ) " "                 "*"                 "*"                
## 126  ( 1 ) " "                 "*"                 "*"                
## 127  ( 1 ) " "                 "*"                 "*"                
## 128  ( 1 ) " "                 "*"                 "*"                
## 129  ( 1 ) " "                 "*"                 "*"                
## 130  ( 1 ) " "                 "*"                 "*"                
## 131  ( 1 ) "*"                 "*"                 "*"                
## 132  ( 1 ) "*"                 "*"                 "*"                
## 133  ( 1 ) "*"                 "*"                 "*"                
## 134  ( 1 ) "*"                 "*"                 "*"                
## 135  ( 1 ) "*"                 "*"                 "*"                
## 136  ( 1 ) "*"                 "*"                 "*"                
## 137  ( 1 ) "*"                 "*"                 "*"                
## 138  ( 1 ) "*"                 "*"                 "*"                
## 139  ( 1 ) "*"                 "*"                 "*"                
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## 149  ( 1 ) "*"                 "*"                 "*"                
## 150  ( 1 ) "*"                 "*"                 "*"                
## 151  ( 1 ) "*"                 "*"                 "*"                
##            NeighborhoodSWISU NeighborhoodTimber NeighborhoodVeenker
## 1  ( 1 )   " "               " "                " "                
## 2  ( 1 )   " "               " "                " "                
## 3  ( 1 )   " "               " "                " "                
## 4  ( 1 )   " "               " "                " "                
## 5  ( 1 )   " "               " "                " "                
## 6  ( 1 )   " "               " "                " "                
## 7  ( 1 )   " "               " "                " "                
## 8  ( 1 )   " "               " "                " "                
## 9  ( 1 )   " "               " "                " "                
## 10  ( 1 )  " "               " "                " "                
## 11  ( 1 )  " "               " "                " "                
## 12  ( 1 )  " "               " "                " "                
## 13  ( 1 )  " "               " "                " "                
## 14  ( 1 )  " "               " "                " "                
## 15  ( 1 )  " "               " "                " "                
## 16  ( 1 )  " "               " "                " "                
## 17  ( 1 )  " "               " "                " "                
## 18  ( 1 )  " "               " "                " "                
## 19  ( 1 )  " "               " "                " "                
## 20  ( 1 )  " "               " "                " "                
## 21  ( 1 )  " "               " "                " "                
## 22  ( 1 )  " "               " "                " "                
## 23  ( 1 )  " "               " "                " "                
## 24  ( 1 )  " "               " "                " "                
## 25  ( 1 )  " "               " "                " "                
## 26  ( 1 )  " "               " "                " "                
## 27  ( 1 )  " "               " "                " "                
## 28  ( 1 )  " "               " "                " "                
## 29  ( 1 )  " "               " "                " "                
## 30  ( 1 )  " "               " "                " "                
## 31  ( 1 )  " "               " "                " "                
## 32  ( 1 )  " "               " "                " "                
## 33  ( 1 )  " "               " "                " "                
## 34  ( 1 )  " "               " "                " "                
## 35  ( 1 )  " "               " "                " "                
## 36  ( 1 )  " "               " "                " "                
## 37  ( 1 )  " "               " "                " "                
## 38  ( 1 )  " "               " "                " "                
## 39  ( 1 )  " "               " "                " "                
## 40  ( 1 )  " "               " "                " "                
## 41  ( 1 )  " "               " "                " "                
## 42  ( 1 )  " "               " "                " "                
## 43  ( 1 )  " "               " "                " "                
## 44  ( 1 )  " "               " "                " "                
## 45  ( 1 )  " "               " "                " "                
## 46  ( 1 )  " "               " "                " "                
## 47  ( 1 )  " "               " "                " "                
## 48  ( 1 )  " "               " "                " "                
## 49  ( 1 )  " "               " "                " "                
## 50  ( 1 )  " "               " "                " "                
## 51  ( 1 )  " "               " "                " "                
## 52  ( 1 )  " "               " "                " "                
## 53  ( 1 )  " "               " "                " "                
## 54  ( 1 )  " "               " "                " "                
## 55  ( 1 )  " "               " "                " "                
## 56  ( 1 )  " "               " "                " "                
## 57  ( 1 )  " "               " "                " "                
## 58  ( 1 )  " "               " "                " "                
## 59  ( 1 )  " "               " "                " "                
## 60  ( 1 )  " "               " "                " "                
## 61  ( 1 )  " "               " "                " "                
## 62  ( 1 )  " "               " "                " "                
## 63  ( 1 )  " "               " "                " "                
## 64  ( 1 )  " "               " "                " "                
## 65  ( 1 )  " "               " "                " "                
## 66  ( 1 )  " "               " "                " "                
## 67  ( 1 )  " "               " "                " "                
## 68  ( 1 )  " "               " "                " "                
## 69  ( 1 )  " "               " "                " "                
## 70  ( 1 )  " "               " "                " "                
## 71  ( 1 )  " "               " "                " "                
## 72  ( 1 )  " "               " "                " "                
## 73  ( 1 )  " "               " "                " "                
## 74  ( 1 )  " "               " "                " "                
## 75  ( 1 )  " "               " "                " "                
## 76  ( 1 )  " "               " "                " "                
## 77  ( 1 )  " "               " "                " "                
## 78  ( 1 )  " "               " "                " "                
## 79  ( 1 )  " "               " "                " "                
## 80  ( 1 )  " "               " "                " "                
## 81  ( 1 )  " "               " "                " "                
## 82  ( 1 )  " "               " "                " "                
## 83  ( 1 )  " "               " "                " "                
## 84  ( 1 )  " "               " "                " "                
## 85  ( 1 )  " "               " "                " "                
## 86  ( 1 )  " "               " "                " "                
## 87  ( 1 )  " "               " "                " "                
## 88  ( 1 )  " "               " "                " "                
## 89  ( 1 )  " "               " "                " "                
## 90  ( 1 )  " "               " "                " "                
## 91  ( 1 )  " "               " "                " "                
## 92  ( 1 )  " "               " "                " "                
## 93  ( 1 )  " "               " "                " "                
## 94  ( 1 )  " "               " "                " "                
## 95  ( 1 )  " "               " "                " "                
## 96  ( 1 )  " "               " "                " "                
## 97  ( 1 )  " "               " "                " "                
## 98  ( 1 )  " "               " "                " "                
## 99  ( 1 )  " "               " "                " "                
## 100  ( 1 ) " "               " "                " "                
## 101  ( 1 ) " "               " "                " "                
## 102  ( 1 ) " "               " "                " "                
## 103  ( 1 ) " "               " "                " "                
## 104  ( 1 ) " "               " "                " "                
## 105  ( 1 ) " "               " "                " "                
## 106  ( 1 ) " "               " "                " "                
## 107  ( 1 ) " "               " "                " "                
## 108  ( 1 ) " "               " "                " "                
## 109  ( 1 ) " "               " "                " "                
## 110  ( 1 ) " "               " "                " "                
## 111  ( 1 ) " "               " "                " "                
## 112  ( 1 ) " "               " "                " "                
## 113  ( 1 ) " "               " "                " "                
## 114  ( 1 ) " "               " "                " "                
## 115  ( 1 ) " "               " "                " "                
## 116  ( 1 ) " "               " "                " "                
## 117  ( 1 ) " "               " "                " "                
## 118  ( 1 ) " "               " "                " "                
## 119  ( 1 ) " "               " "                " "                
## 120  ( 1 ) " "               " "                " "                
## 121  ( 1 ) " "               " "                " "                
## 122  ( 1 ) " "               " "                " "                
## 123  ( 1 ) " "               " "                " "                
## 124  ( 1 ) " "               " "                " "                
## 125  ( 1 ) " "               " "                " "                
## 126  ( 1 ) " "               " "                " "                
## 127  ( 1 ) " "               " "                " "                
## 128  ( 1 ) " "               " "                " "                
## 129  ( 1 ) " "               " "                " "                
## 130  ( 1 ) " "               "*"                " "                
## 131  ( 1 ) " "               "*"                " "                
## 132  ( 1 ) " "               "*"                " "                
## 133  ( 1 ) " "               "*"                " "                
## 134  ( 1 ) " "               "*"                " "                
## 135  ( 1 ) " "               "*"                " "                
## 136  ( 1 ) " "               "*"                " "                
## 137  ( 1 ) "*"               "*"                " "                
## 138  ( 1 ) "*"               "*"                " "                
## 139  ( 1 ) "*"               "*"                " "                
## 140  ( 1 ) "*"               "*"                " "                
## 141  ( 1 ) "*"               "*"                " "                
## 142  ( 1 ) "*"               "*"                " "                
## 143  ( 1 ) "*"               "*"                " "                
## 144  ( 1 ) "*"               "*"                " "                
## 145  ( 1 ) "*"               "*"                " "                
## 146  ( 1 ) "*"               "*"                " "                
## 147  ( 1 ) "*"               "*"                " "                
## 148  ( 1 ) "*"               "*"                " "                
## 149  ( 1 ) "*"               "*"                " "                
## 150  ( 1 ) "*"               "*"                " "                
## 151  ( 1 ) "*"               "*"                " "                
##            Condition1Feedr Condition1Norm Condition1PosA Condition1PosN
## 1  ( 1 )   " "             " "            " "            " "           
## 2  ( 1 )   " "             " "            " "            " "           
## 3  ( 1 )   " "             " "            " "            " "           
## 4  ( 1 )   " "             " "            " "            " "           
## 5  ( 1 )   " "             " "            " "            " "           
## 6  ( 1 )   " "             " "            " "            " "           
## 7  ( 1 )   " "             " "            " "            " "           
## 8  ( 1 )   " "             " "            " "            " "           
## 9  ( 1 )   " "             " "            " "            " "           
## 10  ( 1 )  " "             " "            " "            " "           
## 11  ( 1 )  " "             " "            " "            " "           
## 12  ( 1 )  " "             " "            " "            " "           
## 13  ( 1 )  " "             " "            " "            " "           
## 14  ( 1 )  " "             " "            " "            " "           
## 15  ( 1 )  " "             " "            " "            " "           
## 16  ( 1 )  " "             " "            " "            " "           
## 17  ( 1 )  " "             " "            " "            " "           
## 18  ( 1 )  " "             " "            " "            " "           
## 19  ( 1 )  " "             " "            " "            " "           
## 20  ( 1 )  " "             " "            " "            " "           
## 21  ( 1 )  " "             " "            " "            " "           
## 22  ( 1 )  " "             " "            " "            " "           
## 23  ( 1 )  " "             " "            " "            " "           
## 24  ( 1 )  " "             "*"            " "            " "           
## 25  ( 1 )  " "             "*"            " "            " "           
## 26  ( 1 )  " "             "*"            " "            " "           
## 27  ( 1 )  " "             "*"            " "            " "           
## 28  ( 1 )  " "             "*"            " "            " "           
## 29  ( 1 )  " "             "*"            " "            " "           
## 30  ( 1 )  " "             "*"            " "            " "           
## 31  ( 1 )  " "             "*"            " "            " "           
## 32  ( 1 )  " "             "*"            " "            " "           
## 33  ( 1 )  " "             "*"            " "            " "           
## 34  ( 1 )  " "             "*"            " "            " "           
## 35  ( 1 )  " "             "*"            " "            " "           
## 36  ( 1 )  " "             "*"            " "            " "           
## 37  ( 1 )  " "             "*"            " "            " "           
## 38  ( 1 )  " "             "*"            " "            " "           
## 39  ( 1 )  " "             "*"            " "            " "           
## 40  ( 1 )  " "             "*"            " "            " "           
## 41  ( 1 )  " "             "*"            " "            " "           
## 42  ( 1 )  " "             "*"            " "            " "           
## 43  ( 1 )  " "             "*"            " "            " "           
## 44  ( 1 )  " "             "*"            " "            " "           
## 45  ( 1 )  " "             "*"            " "            " "           
## 46  ( 1 )  " "             "*"            " "            " "           
## 47  ( 1 )  " "             "*"            " "            " "           
## 48  ( 1 )  " "             "*"            " "            " "           
## 49  ( 1 )  " "             "*"            " "            " "           
## 50  ( 1 )  " "             "*"            " "            " "           
## 51  ( 1 )  " "             "*"            " "            " "           
## 52  ( 1 )  " "             "*"            " "            " "           
## 53  ( 1 )  " "             "*"            " "            " "           
## 54  ( 1 )  " "             "*"            " "            " "           
## 55  ( 1 )  " "             "*"            " "            " "           
## 56  ( 1 )  " "             "*"            " "            " "           
## 57  ( 1 )  " "             "*"            " "            " "           
## 58  ( 1 )  " "             "*"            " "            " "           
## 59  ( 1 )  " "             "*"            " "            " "           
## 60  ( 1 )  " "             "*"            " "            " "           
## 61  ( 1 )  " "             "*"            " "            " "           
## 62  ( 1 )  " "             "*"            " "            " "           
## 63  ( 1 )  " "             "*"            " "            " "           
## 64  ( 1 )  " "             "*"            " "            " "           
## 65  ( 1 )  " "             "*"            " "            " "           
## 66  ( 1 )  " "             "*"            " "            " "           
## 67  ( 1 )  " "             "*"            " "            " "           
## 68  ( 1 )  " "             "*"            " "            " "           
## 69  ( 1 )  " "             "*"            " "            " "           
## 70  ( 1 )  " "             "*"            " "            " "           
## 71  ( 1 )  " "             "*"            " "            " "           
## 72  ( 1 )  " "             "*"            " "            " "           
## 73  ( 1 )  " "             "*"            " "            " "           
## 74  ( 1 )  " "             "*"            " "            " "           
## 75  ( 1 )  " "             "*"            " "            " "           
## 76  ( 1 )  " "             "*"            " "            " "           
## 77  ( 1 )  " "             "*"            " "            " "           
## 78  ( 1 )  " "             "*"            " "            " "           
## 79  ( 1 )  " "             "*"            " "            " "           
## 80  ( 1 )  " "             "*"            " "            " "           
## 81  ( 1 )  " "             "*"            " "            " "           
## 82  ( 1 )  " "             "*"            " "            " "           
## 83  ( 1 )  " "             "*"            " "            " "           
## 84  ( 1 )  " "             "*"            " "            " "           
## 85  ( 1 )  " "             "*"            " "            " "           
## 86  ( 1 )  " "             "*"            " "            " "           
## 87  ( 1 )  " "             "*"            " "            " "           
## 88  ( 1 )  " "             "*"            " "            " "           
## 89  ( 1 )  " "             "*"            " "            " "           
## 90  ( 1 )  " "             "*"            " "            " "           
## 91  ( 1 )  " "             "*"            " "            " "           
## 92  ( 1 )  " "             "*"            " "            " "           
## 93  ( 1 )  " "             "*"            " "            " "           
## 94  ( 1 )  " "             "*"            " "            " "           
## 95  ( 1 )  " "             "*"            " "            " "           
## 96  ( 1 )  " "             "*"            " "            " "           
## 97  ( 1 )  " "             "*"            " "            " "           
## 98  ( 1 )  " "             "*"            " "            " "           
## 99  ( 1 )  " "             "*"            " "            " "           
## 100  ( 1 ) " "             "*"            " "            " "           
## 101  ( 1 ) " "             "*"            " "            " "           
## 102  ( 1 ) " "             "*"            " "            " "           
## 103  ( 1 ) " "             "*"            " "            " "           
## 104  ( 1 ) " "             "*"            " "            " "           
## 105  ( 1 ) " "             "*"            " "            " "           
## 106  ( 1 ) " "             "*"            " "            " "           
## 107  ( 1 ) " "             "*"            " "            " "           
## 108  ( 1 ) " "             "*"            " "            " "           
## 109  ( 1 ) " "             "*"            " "            " "           
## 110  ( 1 ) " "             "*"            " "            " "           
## 111  ( 1 ) " "             "*"            " "            " "           
## 112  ( 1 ) " "             "*"            " "            "*"           
## 113  ( 1 ) " "             "*"            " "            "*"           
## 114  ( 1 ) " "             "*"            " "            "*"           
## 115  ( 1 ) " "             "*"            " "            "*"           
## 116  ( 1 ) " "             "*"            " "            "*"           
## 117  ( 1 ) " "             "*"            " "            "*"           
## 118  ( 1 ) " "             "*"            " "            "*"           
## 119  ( 1 ) " "             "*"            " "            "*"           
## 120  ( 1 ) " "             "*"            " "            "*"           
## 121  ( 1 ) " "             "*"            " "            "*"           
## 122  ( 1 ) " "             "*"            " "            "*"           
## 123  ( 1 ) " "             "*"            " "            "*"           
## 124  ( 1 ) " "             "*"            " "            "*"           
## 125  ( 1 ) " "             "*"            " "            "*"           
## 126  ( 1 ) " "             "*"            " "            "*"           
## 127  ( 1 ) " "             "*"            " "            "*"           
## 128  ( 1 ) " "             "*"            " "            "*"           
## 129  ( 1 ) " "             "*"            " "            "*"           
## 130  ( 1 ) " "             "*"            " "            "*"           
## 131  ( 1 ) " "             "*"            " "            "*"           
## 132  ( 1 ) " "             "*"            " "            "*"           
## 133  ( 1 ) " "             "*"            " "            "*"           
## 134  ( 1 ) " "             "*"            " "            "*"           
## 135  ( 1 ) " "             "*"            "*"            "*"           
## 136  ( 1 ) "*"             "*"            "*"            "*"           
## 137  ( 1 ) "*"             "*"            "*"            "*"           
## 138  ( 1 ) "*"             "*"            "*"            "*"           
## 139  ( 1 ) "*"             "*"            "*"            "*"           
## 140  ( 1 ) "*"             "*"            "*"            "*"           
## 141  ( 1 ) "*"             "*"            "*"            "*"           
## 142  ( 1 ) "*"             "*"            "*"            "*"           
## 143  ( 1 ) "*"             "*"            "*"            "*"           
## 144  ( 1 ) "*"             "*"            "*"            "*"           
## 145  ( 1 ) "*"             "*"            "*"            "*"           
## 146  ( 1 ) "*"             "*"            "*"            "*"           
## 147  ( 1 ) "*"             "*"            "*"            "*"           
## 148  ( 1 ) "*"             "*"            "*"            "*"           
## 149  ( 1 ) "*"             "*"            "*"            "*"           
## 150  ( 1 ) "*"             "*"            "*"            "*"           
## 151  ( 1 ) "*"             "*"            "*"            "*"           
##            Condition1RRAe Condition1RRAn Condition1RRNe Condition1RRNn
## 1  ( 1 )   " "            " "            " "            " "           
## 2  ( 1 )   " "            " "            " "            " "           
## 3  ( 1 )   " "            " "            " "            " "           
## 4  ( 1 )   " "            " "            " "            " "           
## 5  ( 1 )   " "            " "            " "            " "           
## 6  ( 1 )   " "            " "            " "            " "           
## 7  ( 1 )   " "            " "            " "            " "           
## 8  ( 1 )   " "            " "            " "            " "           
## 9  ( 1 )   " "            " "            " "            " "           
## 10  ( 1 )  " "            " "            " "            " "           
## 11  ( 1 )  " "            " "            " "            " "           
## 12  ( 1 )  " "            " "            " "            " "           
## 13  ( 1 )  " "            " "            " "            " "           
## 14  ( 1 )  " "            " "            " "            " "           
## 15  ( 1 )  " "            " "            " "            " "           
## 16  ( 1 )  " "            " "            " "            " "           
## 17  ( 1 )  " "            " "            " "            " "           
## 18  ( 1 )  " "            " "            " "            " "           
## 19  ( 1 )  " "            " "            " "            " "           
## 20  ( 1 )  " "            " "            " "            " "           
## 21  ( 1 )  " "            " "            " "            " "           
## 22  ( 1 )  " "            " "            " "            " "           
## 23  ( 1 )  " "            " "            " "            " "           
## 24  ( 1 )  " "            " "            " "            " "           
## 25  ( 1 )  " "            " "            " "            " "           
## 26  ( 1 )  " "            " "            " "            " "           
## 27  ( 1 )  " "            " "            " "            " "           
## 28  ( 1 )  " "            " "            " "            " "           
## 29  ( 1 )  " "            " "            " "            " "           
## 30  ( 1 )  " "            " "            " "            " "           
## 31  ( 1 )  " "            " "            " "            " "           
## 32  ( 1 )  " "            " "            " "            " "           
## 33  ( 1 )  " "            " "            " "            " "           
## 34  ( 1 )  " "            " "            " "            " "           
## 35  ( 1 )  " "            " "            " "            " "           
## 36  ( 1 )  " "            " "            " "            " "           
## 37  ( 1 )  " "            " "            " "            " "           
## 38  ( 1 )  " "            " "            " "            " "           
## 39  ( 1 )  " "            " "            " "            " "           
## 40  ( 1 )  " "            " "            " "            " "           
## 41  ( 1 )  " "            " "            " "            " "           
## 42  ( 1 )  " "            " "            " "            " "           
## 43  ( 1 )  " "            " "            " "            " "           
## 44  ( 1 )  " "            " "            " "            " "           
## 45  ( 1 )  " "            " "            " "            " "           
## 46  ( 1 )  " "            " "            " "            " "           
## 47  ( 1 )  " "            " "            " "            " "           
## 48  ( 1 )  " "            " "            " "            " "           
## 49  ( 1 )  " "            " "            " "            " "           
## 50  ( 1 )  " "            " "            " "            " "           
## 51  ( 1 )  " "            " "            " "            " "           
## 52  ( 1 )  " "            " "            " "            " "           
## 53  ( 1 )  " "            " "            " "            " "           
## 54  ( 1 )  " "            " "            " "            " "           
## 55  ( 1 )  " "            " "            " "            " "           
## 56  ( 1 )  " "            " "            " "            " "           
## 57  ( 1 )  " "            " "            " "            " "           
## 58  ( 1 )  " "            " "            " "            " "           
## 59  ( 1 )  " "            " "            " "            " "           
## 60  ( 1 )  " "            " "            " "            " "           
## 61  ( 1 )  " "            " "            " "            " "           
## 62  ( 1 )  " "            " "            " "            " "           
## 63  ( 1 )  " "            " "            " "            " "           
## 64  ( 1 )  " "            " "            " "            " "           
## 65  ( 1 )  " "            " "            " "            " "           
## 66  ( 1 )  " "            " "            " "            " "           
## 67  ( 1 )  " "            " "            " "            " "           
## 68  ( 1 )  " "            " "            " "            " "           
## 69  ( 1 )  " "            " "            " "            " "           
## 70  ( 1 )  " "            " "            " "            " "           
## 71  ( 1 )  " "            " "            " "            " "           
## 72  ( 1 )  " "            " "            " "            " "           
## 73  ( 1 )  " "            " "            " "            " "           
## 74  ( 1 )  " "            " "            " "            " "           
## 75  ( 1 )  " "            " "            " "            " "           
## 76  ( 1 )  " "            " "            " "            " "           
## 77  ( 1 )  " "            " "            " "            " "           
## 78  ( 1 )  " "            " "            " "            " "           
## 79  ( 1 )  "*"            " "            " "            " "           
## 80  ( 1 )  "*"            " "            " "            " "           
## 81  ( 1 )  "*"            " "            " "            " "           
## 82  ( 1 )  "*"            " "            " "            " "           
## 83  ( 1 )  "*"            " "            " "            " "           
## 84  ( 1 )  "*"            " "            " "            " "           
## 85  ( 1 )  "*"            " "            " "            " "           
## 86  ( 1 )  "*"            " "            " "            " "           
## 87  ( 1 )  "*"            " "            " "            " "           
## 88  ( 1 )  "*"            " "            " "            " "           
## 89  ( 1 )  "*"            " "            " "            " "           
## 90  ( 1 )  "*"            " "            " "            " "           
## 91  ( 1 )  "*"            " "            " "            " "           
## 92  ( 1 )  "*"            " "            " "            " "           
## 93  ( 1 )  "*"            " "            " "            " "           
## 94  ( 1 )  "*"            " "            " "            " "           
## 95  ( 1 )  "*"            " "            " "            " "           
## 96  ( 1 )  "*"            " "            " "            " "           
## 97  ( 1 )  "*"            " "            " "            " "           
## 98  ( 1 )  "*"            " "            " "            " "           
## 99  ( 1 )  "*"            " "            " "            " "           
## 100  ( 1 ) "*"            " "            " "            " "           
## 101  ( 1 ) "*"            " "            " "            " "           
## 102  ( 1 ) "*"            " "            " "            " "           
## 103  ( 1 ) "*"            " "            " "            " "           
## 104  ( 1 ) "*"            "*"            " "            " "           
## 105  ( 1 ) "*"            "*"            " "            " "           
## 106  ( 1 ) "*"            "*"            " "            " "           
## 107  ( 1 ) "*"            "*"            " "            " "           
## 108  ( 1 ) "*"            "*"            " "            " "           
## 109  ( 1 ) "*"            "*"            " "            " "           
## 110  ( 1 ) "*"            "*"            " "            " "           
## 111  ( 1 ) "*"            "*"            " "            " "           
## 112  ( 1 ) "*"            "*"            " "            " "           
## 113  ( 1 ) "*"            "*"            " "            " "           
## 114  ( 1 ) "*"            "*"            " "            " "           
## 115  ( 1 ) "*"            "*"            " "            " "           
## 116  ( 1 ) "*"            "*"            " "            " "           
## 117  ( 1 ) "*"            "*"            " "            " "           
## 118  ( 1 ) "*"            "*"            " "            " "           
## 119  ( 1 ) "*"            "*"            " "            " "           
## 120  ( 1 ) "*"            "*"            " "            " "           
## 121  ( 1 ) "*"            "*"            " "            " "           
## 122  ( 1 ) "*"            "*"            " "            " "           
## 123  ( 1 ) "*"            "*"            " "            " "           
## 124  ( 1 ) "*"            "*"            " "            " "           
## 125  ( 1 ) "*"            "*"            " "            " "           
## 126  ( 1 ) "*"            "*"            " "            " "           
## 127  ( 1 ) "*"            "*"            " "            " "           
## 128  ( 1 ) "*"            "*"            " "            " "           
## 129  ( 1 ) "*"            "*"            " "            " "           
## 130  ( 1 ) "*"            "*"            " "            " "           
## 131  ( 1 ) "*"            "*"            " "            " "           
## 132  ( 1 ) "*"            "*"            " "            " "           
## 133  ( 1 ) "*"            "*"            " "            " "           
## 134  ( 1 ) "*"            "*"            " "            " "           
## 135  ( 1 ) "*"            "*"            " "            " "           
## 136  ( 1 ) "*"            "*"            " "            " "           
## 137  ( 1 ) "*"            "*"            " "            " "           
## 138  ( 1 ) "*"            "*"            " "            " "           
## 139  ( 1 ) "*"            "*"            " "            " "           
## 140  ( 1 ) "*"            "*"            " "            " "           
## 141  ( 1 ) "*"            "*"            " "            " "           
## 142  ( 1 ) "*"            "*"            " "            " "           
## 143  ( 1 ) "*"            "*"            " "            " "           
## 144  ( 1 ) "*"            "*"            " "            " "           
## 145  ( 1 ) "*"            "*"            " "            " "           
## 146  ( 1 ) "*"            "*"            " "            " "           
## 147  ( 1 ) "*"            "*"            " "            " "           
## 148  ( 1 ) "*"            "*"            " "            " "           
## 149  ( 1 ) "*"            "*"            " "            " "           
## 150  ( 1 ) "*"            "*"            " "            " "           
## 151  ( 1 ) "*"            "*"            " "            " "           
##            Condition2Feedr Condition2Norm Condition2PosA Condition2PosN
## 1  ( 1 )   " "             " "            " "            " "           
## 2  ( 1 )   " "             " "            " "            " "           
## 3  ( 1 )   " "             " "            " "            " "           
## 4  ( 1 )   " "             " "            " "            " "           
## 5  ( 1 )   " "             " "            " "            " "           
## 6  ( 1 )   " "             " "            " "            " "           
## 7  ( 1 )   " "             " "            " "            " "           
## 8  ( 1 )   " "             " "            " "            "*"           
## 9  ( 1 )   " "             " "            " "            "*"           
## 10  ( 1 )  " "             " "            " "            "*"           
## 11  ( 1 )  " "             " "            " "            "*"           
## 12  ( 1 )  " "             " "            " "            "*"           
## 13  ( 1 )  " "             " "            " "            "*"           
## 14  ( 1 )  " "             " "            " "            "*"           
## 15  ( 1 )  " "             " "            " "            "*"           
## 16  ( 1 )  " "             " "            " "            "*"           
## 17  ( 1 )  " "             " "            " "            "*"           
## 18  ( 1 )  " "             " "            " "            "*"           
## 19  ( 1 )  " "             " "            " "            "*"           
## 20  ( 1 )  " "             " "            " "            "*"           
## 21  ( 1 )  " "             " "            " "            "*"           
## 22  ( 1 )  " "             " "            " "            "*"           
## 23  ( 1 )  " "             " "            " "            "*"           
## 24  ( 1 )  " "             " "            " "            "*"           
## 25  ( 1 )  " "             " "            " "            "*"           
## 26  ( 1 )  " "             " "            " "            "*"           
## 27  ( 1 )  " "             " "            " "            "*"           
## 28  ( 1 )  " "             " "            " "            "*"           
## 29  ( 1 )  " "             " "            " "            "*"           
## 30  ( 1 )  " "             " "            " "            "*"           
## 31  ( 1 )  " "             " "            " "            "*"           
## 32  ( 1 )  " "             " "            " "            "*"           
## 33  ( 1 )  " "             " "            " "            "*"           
## 34  ( 1 )  " "             " "            " "            "*"           
## 35  ( 1 )  " "             " "            " "            "*"           
## 36  ( 1 )  " "             " "            " "            "*"           
## 37  ( 1 )  " "             " "            " "            "*"           
## 38  ( 1 )  " "             " "            " "            "*"           
## 39  ( 1 )  " "             " "            " "            "*"           
## 40  ( 1 )  " "             " "            " "            "*"           
## 41  ( 1 )  " "             " "            " "            "*"           
## 42  ( 1 )  " "             " "            " "            "*"           
## 43  ( 1 )  " "             " "            " "            "*"           
## 44  ( 1 )  " "             " "            " "            "*"           
## 45  ( 1 )  " "             " "            " "            "*"           
## 46  ( 1 )  " "             " "            " "            "*"           
## 47  ( 1 )  " "             " "            " "            "*"           
## 48  ( 1 )  " "             " "            " "            "*"           
## 49  ( 1 )  " "             " "            " "            "*"           
## 50  ( 1 )  " "             " "            " "            "*"           
## 51  ( 1 )  " "             " "            " "            "*"           
## 52  ( 1 )  " "             " "            " "            "*"           
## 53  ( 1 )  " "             " "            " "            "*"           
## 54  ( 1 )  " "             " "            " "            "*"           
## 55  ( 1 )  " "             " "            " "            "*"           
## 56  ( 1 )  " "             " "            " "            "*"           
## 57  ( 1 )  " "             " "            " "            "*"           
## 58  ( 1 )  " "             " "            " "            "*"           
## 59  ( 1 )  " "             " "            " "            "*"           
## 60  ( 1 )  " "             " "            " "            "*"           
## 61  ( 1 )  " "             " "            " "            "*"           
## 62  ( 1 )  " "             " "            " "            "*"           
## 63  ( 1 )  " "             " "            " "            "*"           
## 64  ( 1 )  " "             " "            " "            "*"           
## 65  ( 1 )  " "             " "            " "            "*"           
## 66  ( 1 )  " "             " "            " "            "*"           
## 67  ( 1 )  " "             " "            " "            "*"           
## 68  ( 1 )  " "             " "            " "            "*"           
## 69  ( 1 )  " "             " "            " "            "*"           
## 70  ( 1 )  " "             " "            " "            "*"           
## 71  ( 1 )  " "             " "            " "            "*"           
## 72  ( 1 )  " "             " "            " "            "*"           
## 73  ( 1 )  " "             " "            "*"            "*"           
## 74  ( 1 )  " "             " "            "*"            "*"           
## 75  ( 1 )  " "             " "            "*"            "*"           
## 76  ( 1 )  " "             " "            "*"            "*"           
## 77  ( 1 )  " "             " "            "*"            "*"           
## 78  ( 1 )  " "             " "            "*"            "*"           
## 79  ( 1 )  " "             " "            "*"            "*"           
## 80  ( 1 )  " "             " "            "*"            "*"           
## 81  ( 1 )  " "             " "            "*"            "*"           
## 82  ( 1 )  " "             " "            "*"            "*"           
## 83  ( 1 )  " "             " "            "*"            "*"           
## 84  ( 1 )  " "             " "            "*"            "*"           
## 85  ( 1 )  " "             " "            "*"            "*"           
## 86  ( 1 )  " "             " "            "*"            "*"           
## 87  ( 1 )  " "             " "            "*"            "*"           
## 88  ( 1 )  " "             " "            "*"            "*"           
## 89  ( 1 )  " "             " "            "*"            "*"           
## 90  ( 1 )  " "             " "            "*"            "*"           
## 91  ( 1 )  " "             " "            "*"            "*"           
## 92  ( 1 )  " "             " "            "*"            "*"           
## 93  ( 1 )  " "             " "            "*"            "*"           
## 94  ( 1 )  " "             " "            "*"            "*"           
## 95  ( 1 )  " "             " "            "*"            "*"           
## 96  ( 1 )  " "             " "            "*"            "*"           
## 97  ( 1 )  " "             " "            "*"            "*"           
## 98  ( 1 )  " "             " "            "*"            "*"           
## 99  ( 1 )  " "             " "            "*"            "*"           
## 100  ( 1 ) " "             " "            "*"            "*"           
## 101  ( 1 ) " "             " "            "*"            "*"           
## 102  ( 1 ) " "             " "            "*"            "*"           
## 103  ( 1 ) " "             " "            "*"            "*"           
## 104  ( 1 ) " "             " "            "*"            "*"           
## 105  ( 1 ) " "             " "            "*"            "*"           
## 106  ( 1 ) " "             " "            "*"            "*"           
## 107  ( 1 ) " "             " "            "*"            "*"           
## 108  ( 1 ) " "             " "            "*"            "*"           
## 109  ( 1 ) " "             " "            "*"            "*"           
## 110  ( 1 ) " "             " "            "*"            "*"           
## 111  ( 1 ) " "             " "            "*"            "*"           
## 112  ( 1 ) " "             " "            "*"            "*"           
## 113  ( 1 ) " "             " "            "*"            "*"           
## 114  ( 1 ) " "             " "            "*"            "*"           
## 115  ( 1 ) " "             " "            "*"            "*"           
## 116  ( 1 ) " "             " "            "*"            "*"           
## 117  ( 1 ) " "             " "            "*"            "*"           
## 118  ( 1 ) " "             " "            "*"            "*"           
## 119  ( 1 ) " "             " "            "*"            "*"           
## 120  ( 1 ) " "             " "            "*"            "*"           
## 121  ( 1 ) " "             " "            "*"            "*"           
## 122  ( 1 ) " "             " "            "*"            "*"           
## 123  ( 1 ) " "             " "            "*"            "*"           
## 124  ( 1 ) " "             " "            "*"            "*"           
## 125  ( 1 ) " "             " "            "*"            "*"           
## 126  ( 1 ) " "             " "            "*"            "*"           
## 127  ( 1 ) " "             " "            "*"            "*"           
## 128  ( 1 ) " "             " "            "*"            "*"           
## 129  ( 1 ) " "             " "            "*"            "*"           
## 130  ( 1 ) " "             " "            "*"            "*"           
## 131  ( 1 ) " "             " "            "*"            "*"           
## 132  ( 1 ) " "             " "            "*"            "*"           
## 133  ( 1 ) " "             " "            "*"            "*"           
## 134  ( 1 ) " "             " "            "*"            "*"           
## 135  ( 1 ) " "             " "            "*"            "*"           
## 136  ( 1 ) " "             " "            "*"            "*"           
## 137  ( 1 ) " "             " "            "*"            "*"           
## 138  ( 1 ) " "             " "            "*"            "*"           
## 139  ( 1 ) " "             " "            "*"            "*"           
## 140  ( 1 ) " "             " "            "*"            "*"           
## 141  ( 1 ) " "             " "            "*"            "*"           
## 142  ( 1 ) " "             " "            "*"            "*"           
## 143  ( 1 ) " "             " "            "*"            "*"           
## 144  ( 1 ) " "             " "            "*"            "*"           
## 145  ( 1 ) " "             " "            "*"            "*"           
## 146  ( 1 ) " "             " "            "*"            "*"           
## 147  ( 1 ) " "             " "            "*"            "*"           
## 148  ( 1 ) " "             " "            "*"            "*"           
## 149  ( 1 ) " "             " "            "*"            "*"           
## 150  ( 1 ) " "             " "            "*"            "*"           
## 151  ( 1 ) " "             " "            "*"            "*"           
##            Condition2RRAe Condition2RRAn Condition2RRNn BldgType2fmCon
## 1  ( 1 )   " "            " "            " "            " "           
## 2  ( 1 )   " "            " "            " "            " "           
## 3  ( 1 )   " "            " "            " "            " "           
## 4  ( 1 )   " "            " "            " "            " "           
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##            BldgTypeDuplex BldgTypeTwnhs BldgTypeTwnhsE HouseStyle1.5Unf
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##            HouseStyle1Story HouseStyle2.5Fin HouseStyle2.5Unf
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## 113  ( 1 ) "*"              " "              " "             
## 114  ( 1 ) "*"              " "              " "             
## 115  ( 1 ) "*"              " "              " "             
## 116  ( 1 ) "*"              " "              " "             
## 117  ( 1 ) "*"              " "              " "             
## 118  ( 1 ) "*"              " "              " "             
## 119  ( 1 ) "*"              " "              " "             
## 120  ( 1 ) "*"              " "              " "             
## 121  ( 1 ) "*"              " "              " "             
## 122  ( 1 ) "*"              " "              " "             
## 123  ( 1 ) "*"              " "              " "             
## 124  ( 1 ) "*"              " "              " "             
## 125  ( 1 ) "*"              " "              " "             
## 126  ( 1 ) "*"              " "              " "             
## 127  ( 1 ) "*"              "*"              " "             
## 128  ( 1 ) "*"              "*"              " "             
## 129  ( 1 ) "*"              "*"              " "             
## 130  ( 1 ) "*"              "*"              " "             
## 131  ( 1 ) "*"              "*"              " "             
## 132  ( 1 ) "*"              "*"              " "             
## 133  ( 1 ) "*"              "*"              "*"             
## 134  ( 1 ) "*"              "*"              "*"             
## 135  ( 1 ) "*"              "*"              "*"             
## 136  ( 1 ) "*"              "*"              "*"             
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## 138  ( 1 ) "*"              "*"              "*"             
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## 149  ( 1 ) "*"              "*"              "*"             
## 150  ( 1 ) "*"              "*"              "*"             
## 151  ( 1 ) "*"              "*"              "*"             
##            HouseStyle2Story HouseStyleSFoyer HouseStyleSLvl OverallQual
## 1  ( 1 )   " "              " "              " "            "*"        
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## 105  ( 1 ) " "              " "              " "            "*"        
## 106  ( 1 ) " "              " "              " "            "*"        
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## 109  ( 1 ) " "              " "              " "            "*"        
## 110  ( 1 ) " "              " "              " "            "*"        
## 111  ( 1 ) " "              " "              " "            "*"        
## 112  ( 1 ) " "              " "              " "            "*"        
## 113  ( 1 ) " "              " "              " "            "*"        
## 114  ( 1 ) " "              " "              " "            "*"        
## 115  ( 1 ) " "              " "              "*"            "*"        
## 116  ( 1 ) " "              " "              "*"            "*"        
## 117  ( 1 ) " "              " "              "*"            "*"        
## 118  ( 1 ) " "              " "              "*"            "*"        
## 119  ( 1 ) " "              " "              "*"            "*"        
## 120  ( 1 ) " "              " "              "*"            "*"        
## 121  ( 1 ) " "              " "              "*"            "*"        
## 122  ( 1 ) " "              " "              "*"            "*"        
## 123  ( 1 ) " "              " "              "*"            "*"        
## 124  ( 1 ) " "              " "              "*"            "*"        
## 125  ( 1 ) " "              " "              "*"            "*"        
## 126  ( 1 ) " "              " "              "*"            "*"        
## 127  ( 1 ) " "              " "              "*"            "*"        
## 128  ( 1 ) "*"              " "              "*"            "*"        
## 129  ( 1 ) "*"              " "              "*"            "*"        
## 130  ( 1 ) "*"              " "              "*"            "*"        
## 131  ( 1 ) "*"              " "              "*"            "*"        
## 132  ( 1 ) "*"              " "              "*"            "*"        
## 133  ( 1 ) "*"              " "              "*"            "*"        
## 134  ( 1 ) "*"              " "              "*"            "*"        
## 135  ( 1 ) "*"              " "              "*"            "*"        
## 136  ( 1 ) "*"              " "              "*"            "*"        
## 137  ( 1 ) "*"              " "              "*"            "*"        
## 138  ( 1 ) "*"              " "              "*"            "*"        
## 139  ( 1 ) "*"              " "              "*"            "*"        
## 140  ( 1 ) "*"              " "              "*"            "*"        
## 141  ( 1 ) "*"              " "              "*"            "*"        
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## 149  ( 1 ) "*"              " "              "*"            "*"        
## 150  ( 1 ) "*"              " "              "*"            "*"        
## 151  ( 1 ) "*"              " "              "*"            "*"        
##            OverallCond YearBuilt YearRemodAdd RoofStyleGable
## 1  ( 1 )   " "         " "       " "          " "           
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## 10  ( 1 )  " "         " "       " "          " "           
## 11  ( 1 )  " "         " "       " "          " "           
## 12  ( 1 )  " "         " "       " "          " "           
## 13  ( 1 )  "*"         " "       " "          " "           
## 14  ( 1 )  "*"         "*"       " "          " "           
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## 109  ( 1 ) "*"         "*"       "*"          "*"           
## 110  ( 1 ) "*"         "*"       "*"          "*"           
## 111  ( 1 ) "*"         "*"       "*"          "*"           
## 112  ( 1 ) "*"         "*"       "*"          "*"           
## 113  ( 1 ) "*"         "*"       "*"          "*"           
## 114  ( 1 ) "*"         "*"       "*"          "*"           
## 115  ( 1 ) "*"         "*"       "*"          "*"           
## 116  ( 1 ) "*"         "*"       "*"          "*"           
## 117  ( 1 ) "*"         "*"       "*"          "*"           
## 118  ( 1 ) "*"         "*"       "*"          "*"           
## 119  ( 1 ) "*"         "*"       "*"          "*"           
## 120  ( 1 ) "*"         "*"       "*"          "*"           
## 121  ( 1 ) "*"         "*"       "*"          "*"           
## 122  ( 1 ) "*"         "*"       "*"          "*"           
## 123  ( 1 ) "*"         "*"       "*"          "*"           
## 124  ( 1 ) "*"         "*"       "*"          "*"           
## 125  ( 1 ) "*"         "*"       "*"          "*"           
## 126  ( 1 ) "*"         "*"       "*"          "*"           
## 127  ( 1 ) "*"         "*"       "*"          "*"           
## 128  ( 1 ) "*"         "*"       "*"          "*"           
## 129  ( 1 ) "*"         "*"       "*"          "*"           
## 130  ( 1 ) "*"         "*"       "*"          "*"           
## 131  ( 1 ) "*"         "*"       "*"          "*"           
## 132  ( 1 ) "*"         "*"       "*"          "*"           
## 133  ( 1 ) "*"         "*"       "*"          "*"           
## 134  ( 1 ) "*"         "*"       "*"          "*"           
## 135  ( 1 ) "*"         "*"       "*"          "*"           
## 136  ( 1 ) "*"         "*"       "*"          "*"           
## 137  ( 1 ) "*"         "*"       "*"          "*"           
## 138  ( 1 ) "*"         "*"       "*"          "*"           
## 139  ( 1 ) "*"         "*"       "*"          "*"           
## 140  ( 1 ) "*"         "*"       "*"          "*"           
## 141  ( 1 ) "*"         "*"       "*"          "*"           
## 142  ( 1 ) "*"         "*"       "*"          "*"           
## 143  ( 1 ) "*"         "*"       "*"          "*"           
## 144  ( 1 ) "*"         "*"       "*"          "*"           
## 145  ( 1 ) "*"         "*"       "*"          "*"           
## 146  ( 1 ) "*"         "*"       "*"          "*"           
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## 149  ( 1 ) "*"         "*"       "*"          "*"           
## 150  ( 1 ) "*"         "*"       "*"          "*"           
## 151  ( 1 ) "*"         "*"       "*"          "*"           
##            RoofStyleGambrel RoofStyleHip RoofStyleMansard RoofStyleShed
## 1  ( 1 )   " "              " "          " "              " "          
## 2  ( 1 )   " "              " "          " "              " "          
## 3  ( 1 )   " "              " "          " "              " "          
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## 5  ( 1 )   " "              " "          " "              " "          
## 6  ( 1 )   " "              " "          " "              " "          
## 7  ( 1 )   " "              " "          " "              " "          
## 8  ( 1 )   " "              " "          " "              " "          
## 9  ( 1 )   " "              " "          " "              " "          
## 10  ( 1 )  " "              " "          " "              " "          
## 11  ( 1 )  " "              " "          " "              " "          
## 12  ( 1 )  " "              " "          " "              " "          
## 13  ( 1 )  " "              " "          " "              " "          
## 14  ( 1 )  " "              " "          " "              " "          
## 15  ( 1 )  " "              " "          " "              " "          
## 16  ( 1 )  " "              " "          " "              " "          
## 17  ( 1 )  " "              " "          " "              " "          
## 18  ( 1 )  " "              " "          " "              " "          
## 19  ( 1 )  " "              " "          " "              " "          
## 20  ( 1 )  " "              " "          " "              " "          
## 21  ( 1 )  " "              " "          " "              " "          
## 22  ( 1 )  " "              " "          " "              " "          
## 23  ( 1 )  " "              " "          " "              " "          
## 24  ( 1 )  " "              " "          " "              " "          
## 25  ( 1 )  " "              " "          " "              " "          
## 26  ( 1 )  " "              " "          " "              " "          
## 27  ( 1 )  " "              " "          " "              " "          
## 28  ( 1 )  " "              " "          " "              " "          
## 29  ( 1 )  " "              " "          " "              " "          
## 30  ( 1 )  " "              " "          " "              " "          
## 31  ( 1 )  " "              " "          " "              " "          
## 32  ( 1 )  " "              " "          " "              " "          
## 33  ( 1 )  " "              " "          " "              " "          
## 34  ( 1 )  " "              " "          " "              " "          
## 35  ( 1 )  " "              " "          " "              " "          
## 36  ( 1 )  " "              " "          " "              " "          
## 37  ( 1 )  " "              " "          " "              " "          
## 38  ( 1 )  " "              " "          " "              " "          
## 39  ( 1 )  " "              " "          " "              " "          
## 40  ( 1 )  " "              " "          " "              " "          
## 41  ( 1 )  " "              " "          " "              " "          
## 42  ( 1 )  " "              " "          " "              " "          
## 43  ( 1 )  " "              " "          " "              " "          
## 44  ( 1 )  " "              " "          " "              " "          
## 45  ( 1 )  " "              " "          " "              " "          
## 46  ( 1 )  " "              " "          " "              " "          
## 47  ( 1 )  " "              " "          " "              " "          
## 48  ( 1 )  " "              " "          " "              " "          
## 49  ( 1 )  " "              " "          " "              " "          
## 50  ( 1 )  " "              " "          " "              " "          
## 51  ( 1 )  " "              " "          " "              " "          
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## 86  ( 1 )  " "              " "          " "              "*"          
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## 132  ( 1 ) " "              " "          "*"              "*"          
## 133  ( 1 ) " "              " "          "*"              "*"          
## 134  ( 1 ) " "              " "          "*"              "*"          
## 135  ( 1 ) " "              " "          "*"              "*"          
## 136  ( 1 ) " "              " "          "*"              "*"          
## 137  ( 1 ) " "              " "          "*"              "*"          
## 138  ( 1 ) " "              " "          "*"              "*"          
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## 149  ( 1 ) " "              " "          "*"              "*"          
## 150  ( 1 ) " "              " "          "*"              "*"          
## 151  ( 1 ) " "              " "          "*"              "*"          
##            RoofMatlCompShg RoofMatlMembran RoofMatlMetal RoofMatlRoll
## 1  ( 1 )   " "             " "             " "           " "         
## 2  ( 1 )   " "             " "             " "           " "         
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## 12  ( 1 )  " "             " "             " "           " "         
## 13  ( 1 )  " "             " "             " "           " "         
## 14  ( 1 )  " "             " "             " "           " "         
## 15  ( 1 )  " "             " "             " "           " "         
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## 18  ( 1 )  " "             " "             " "           " "         
## 19  ( 1 )  " "             " "             " "           " "         
## 20  ( 1 )  " "             " "             " "           " "         
## 21  ( 1 )  "*"             " "             " "           " "         
## 22  ( 1 )  "*"             " "             " "           " "         
## 23  ( 1 )  "*"             " "             " "           " "         
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##            RoofMatlTar.Grv RoofMatlWdShake RoofMatlWdShngl
## 1  ( 1 )   " "             " "             " "            
## 2  ( 1 )   " "             " "             " "            
## 3  ( 1 )   " "             " "             " "            
## 4  ( 1 )   " "             " "             " "            
## 5  ( 1 )   " "             " "             " "            
## 6  ( 1 )   " "             " "             " "            
## 7  ( 1 )   " "             " "             " "            
## 8  ( 1 )   " "             " "             " "            
## 9  ( 1 )   " "             " "             " "            
## 10  ( 1 )  " "             " "             " "            
## 11  ( 1 )  " "             " "             " "            
## 12  ( 1 )  " "             " "             " "            
## 13  ( 1 )  " "             " "             " "            
## 14  ( 1 )  " "             " "             " "            
## 15  ( 1 )  " "             " "             "*"            
## 16  ( 1 )  " "             " "             "*"            
## 17  ( 1 )  " "             " "             "*"            
## 18  ( 1 )  " "             " "             "*"            
## 19  ( 1 )  " "             " "             "*"            
## 20  ( 1 )  " "             " "             "*"            
## 21  ( 1 )  " "             " "             "*"            
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## 25  ( 1 )  " "             " "             "*"            
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## 30  ( 1 )  " "             " "             "*"            
## 31  ( 1 )  " "             " "             "*"            
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##            Exterior1stAsphShn Exterior1stBrkComm Exterior1stBrkFace
## 1  ( 1 )   " "                " "                " "               
## 2  ( 1 )   " "                " "                " "               
## 3  ( 1 )   " "                " "                " "               
## 4  ( 1 )   " "                " "                " "               
## 5  ( 1 )   " "                " "                " "               
## 6  ( 1 )   " "                " "                " "               
## 7  ( 1 )   " "                " "                " "               
## 8  ( 1 )   " "                " "                " "               
## 9  ( 1 )   " "                " "                " "               
## 10  ( 1 )  " "                " "                " "               
## 11  ( 1 )  " "                " "                " "               
## 12  ( 1 )  " "                " "                " "               
## 13  ( 1 )  " "                " "                " "               
## 14  ( 1 )  " "                " "                " "               
## 15  ( 1 )  " "                " "                " "               
## 16  ( 1 )  " "                " "                " "               
## 17  ( 1 )  " "                " "                " "               
## 18  ( 1 )  " "                " "                " "               
## 19  ( 1 )  " "                " "                " "               
## 20  ( 1 )  " "                " "                "*"               
## 21  ( 1 )  " "                " "                "*"               
## 22  ( 1 )  " "                " "                "*"               
## 23  ( 1 )  " "                " "                "*"               
## 24  ( 1 )  " "                " "                "*"               
## 25  ( 1 )  " "                " "                "*"               
## 26  ( 1 )  " "                " "                "*"               
## 27  ( 1 )  " "                " "                "*"               
## 28  ( 1 )  " "                " "                "*"               
## 29  ( 1 )  " "                " "                "*"               
## 30  ( 1 )  " "                " "                "*"               
## 31  ( 1 )  " "                " "                "*"               
## 32  ( 1 )  " "                " "                "*"               
## 33  ( 1 )  " "                " "                "*"               
## 34  ( 1 )  " "                " "                "*"               
## 35  ( 1 )  " "                " "                "*"               
## 36  ( 1 )  " "                " "                "*"               
## 37  ( 1 )  " "                " "                "*"               
## 38  ( 1 )  " "                " "                "*"               
## 39  ( 1 )  " "                " "                "*"               
## 40  ( 1 )  " "                " "                "*"               
## 41  ( 1 )  " "                " "                "*"               
## 42  ( 1 )  " "                " "                "*"               
## 43  ( 1 )  " "                " "                "*"               
## 44  ( 1 )  " "                " "                "*"               
## 45  ( 1 )  " "                " "                "*"               
## 46  ( 1 )  " "                " "                "*"               
## 47  ( 1 )  " "                " "                "*"               
## 48  ( 1 )  " "                " "                "*"               
## 49  ( 1 )  " "                " "                "*"               
## 50  ( 1 )  " "                " "                "*"               
## 51  ( 1 )  " "                " "                "*"               
## 52  ( 1 )  " "                " "                "*"               
## 53  ( 1 )  " "                " "                "*"               
## 54  ( 1 )  " "                " "                "*"               
## 55  ( 1 )  " "                " "                "*"               
## 56  ( 1 )  " "                " "                "*"               
## 57  ( 1 )  " "                " "                "*"               
## 58  ( 1 )  " "                " "                "*"               
## 59  ( 1 )  " "                " "                "*"               
## 60  ( 1 )  " "                " "                "*"               
## 61  ( 1 )  " "                " "                "*"               
## 62  ( 1 )  " "                " "                "*"               
## 63  ( 1 )  " "                " "                "*"               
## 64  ( 1 )  " "                " "                "*"               
## 65  ( 1 )  " "                " "                "*"               
## 66  ( 1 )  " "                " "                "*"               
## 67  ( 1 )  " "                " "                "*"               
## 68  ( 1 )  " "                " "                "*"               
## 69  ( 1 )  " "                " "                "*"               
## 70  ( 1 )  " "                " "                "*"               
## 71  ( 1 )  " "                " "                "*"               
## 72  ( 1 )  " "                " "                "*"               
## 73  ( 1 )  " "                " "                "*"               
## 74  ( 1 )  " "                " "                "*"               
## 75  ( 1 )  " "                " "                "*"               
## 76  ( 1 )  " "                " "                "*"               
## 77  ( 1 )  " "                " "                "*"               
## 78  ( 1 )  " "                " "                "*"               
## 79  ( 1 )  " "                " "                "*"               
## 80  ( 1 )  " "                " "                "*"               
## 81  ( 1 )  " "                " "                "*"               
## 82  ( 1 )  " "                " "                "*"               
## 83  ( 1 )  " "                " "                "*"               
## 84  ( 1 )  " "                " "                "*"               
## 85  ( 1 )  " "                " "                "*"               
## 86  ( 1 )  " "                " "                "*"               
## 87  ( 1 )  " "                " "                "*"               
## 88  ( 1 )  " "                " "                "*"               
## 89  ( 1 )  " "                " "                "*"               
## 90  ( 1 )  " "                " "                "*"               
## 91  ( 1 )  " "                " "                "*"               
## 92  ( 1 )  " "                " "                "*"               
## 93  ( 1 )  " "                " "                "*"               
## 94  ( 1 )  " "                " "                "*"               
## 95  ( 1 )  " "                " "                "*"               
## 96  ( 1 )  " "                " "                "*"               
## 97  ( 1 )  " "                " "                "*"               
## 98  ( 1 )  " "                " "                "*"               
## 99  ( 1 )  " "                " "                "*"               
## 100  ( 1 ) " "                " "                "*"               
## 101  ( 1 ) " "                " "                "*"               
## 102  ( 1 ) " "                " "                "*"               
## 103  ( 1 ) " "                " "                "*"               
## 104  ( 1 ) " "                " "                "*"               
## 105  ( 1 ) " "                " "                "*"               
## 106  ( 1 ) " "                " "                "*"               
## 107  ( 1 ) " "                " "                "*"               
## 108  ( 1 ) " "                " "                "*"               
## 109  ( 1 ) " "                " "                "*"               
## 110  ( 1 ) " "                " "                "*"               
## 111  ( 1 ) " "                " "                "*"               
## 112  ( 1 ) " "                " "                "*"               
## 113  ( 1 ) " "                " "                "*"               
## 114  ( 1 ) " "                " "                "*"               
## 115  ( 1 ) " "                " "                "*"               
## 116  ( 1 ) " "                " "                "*"               
## 117  ( 1 ) " "                " "                "*"               
## 118  ( 1 ) " "                " "                "*"               
## 119  ( 1 ) " "                " "                "*"               
## 120  ( 1 ) " "                " "                "*"               
## 121  ( 1 ) " "                " "                "*"               
## 122  ( 1 ) " "                " "                "*"               
## 123  ( 1 ) " "                " "                "*"               
## 124  ( 1 ) " "                " "                "*"               
## 125  ( 1 ) " "                " "                "*"               
## 126  ( 1 ) " "                " "                "*"               
## 127  ( 1 ) " "                " "                "*"               
## 128  ( 1 ) " "                " "                "*"               
## 129  ( 1 ) " "                " "                "*"               
## 130  ( 1 ) " "                " "                "*"               
## 131  ( 1 ) " "                " "                "*"               
## 132  ( 1 ) " "                " "                "*"               
## 133  ( 1 ) " "                " "                "*"               
## 134  ( 1 ) " "                " "                "*"               
## 135  ( 1 ) " "                " "                "*"               
## 136  ( 1 ) " "                " "                "*"               
## 137  ( 1 ) " "                " "                "*"               
## 138  ( 1 ) " "                " "                "*"               
## 139  ( 1 ) " "                " "                "*"               
## 140  ( 1 ) " "                " "                "*"               
## 141  ( 1 ) " "                " "                "*"               
## 142  ( 1 ) " "                " "                "*"               
## 143  ( 1 ) " "                " "                "*"               
## 144  ( 1 ) " "                " "                "*"               
## 145  ( 1 ) " "                " "                "*"               
## 146  ( 1 ) " "                " "                "*"               
## 147  ( 1 ) " "                " "                "*"               
## 148  ( 1 ) " "                " "                "*"               
## 149  ( 1 ) " "                " "                "*"               
## 150  ( 1 ) " "                " "                "*"               
## 151  ( 1 ) " "                " "                "*"               
##            Exterior1stCBlock Exterior1stCemntBd Exterior1stHdBoard
## 1  ( 1 )   " "               " "                " "               
## 2  ( 1 )   " "               " "                " "               
## 3  ( 1 )   " "               " "                " "               
## 4  ( 1 )   " "               " "                " "               
## 5  ( 1 )   " "               " "                " "               
## 6  ( 1 )   " "               " "                " "               
## 7  ( 1 )   " "               " "                " "               
## 8  ( 1 )   " "               " "                " "               
## 9  ( 1 )   " "               " "                " "               
## 10  ( 1 )  " "               " "                " "               
## 11  ( 1 )  " "               " "                " "               
## 12  ( 1 )  " "               " "                " "               
## 13  ( 1 )  " "               " "                " "               
## 14  ( 1 )  " "               " "                " "               
## 15  ( 1 )  " "               " "                " "               
## 16  ( 1 )  " "               " "                " "               
## 17  ( 1 )  " "               " "                " "               
## 18  ( 1 )  " "               " "                " "               
## 19  ( 1 )  " "               " "                " "               
## 20  ( 1 )  " "               " "                " "               
## 21  ( 1 )  " "               " "                " "               
## 22  ( 1 )  " "               " "                " "               
## 23  ( 1 )  " "               " "                " "               
## 24  ( 1 )  " "               " "                " "               
## 25  ( 1 )  " "               " "                " "               
## 26  ( 1 )  " "               " "                " "               
## 27  ( 1 )  " "               " "                " "               
## 28  ( 1 )  " "               " "                " "               
## 29  ( 1 )  " "               " "                " "               
## 30  ( 1 )  " "               "*"                " "               
## 31  ( 1 )  " "               "*"                " "               
## 32  ( 1 )  " "               "*"                " "               
## 33  ( 1 )  " "               "*"                " "               
## 34  ( 1 )  " "               "*"                " "               
## 35  ( 1 )  " "               "*"                " "               
## 36  ( 1 )  " "               "*"                " "               
## 37  ( 1 )  " "               "*"                " "               
## 38  ( 1 )  " "               "*"                " "               
## 39  ( 1 )  " "               "*"                " "               
## 40  ( 1 )  " "               "*"                " "               
## 41  ( 1 )  " "               "*"                " "               
## 42  ( 1 )  " "               "*"                " "               
## 43  ( 1 )  " "               "*"                " "               
## 44  ( 1 )  " "               "*"                " "               
## 45  ( 1 )  " "               "*"                " "               
## 46  ( 1 )  " "               "*"                " "               
## 47  ( 1 )  " "               "*"                " "               
## 48  ( 1 )  " "               "*"                " "               
## 49  ( 1 )  " "               "*"                " "               
## 50  ( 1 )  " "               "*"                " "               
## 51  ( 1 )  " "               "*"                " "               
## 52  ( 1 )  " "               "*"                " "               
## 53  ( 1 )  " "               "*"                " "               
## 54  ( 1 )  " "               "*"                " "               
## 55  ( 1 )  " "               "*"                " "               
## 56  ( 1 )  " "               "*"                " "               
## 57  ( 1 )  " "               "*"                " "               
## 58  ( 1 )  " "               "*"                " "               
## 59  ( 1 )  " "               "*"                " "               
## 60  ( 1 )  " "               "*"                " "               
## 61  ( 1 )  " "               "*"                " "               
## 62  ( 1 )  " "               "*"                " "               
## 63  ( 1 )  " "               "*"                " "               
## 64  ( 1 )  " "               "*"                " "               
## 65  ( 1 )  " "               "*"                " "               
## 66  ( 1 )  " "               "*"                " "               
## 67  ( 1 )  " "               "*"                " "               
## 68  ( 1 )  " "               "*"                " "               
## 69  ( 1 )  " "               "*"                " "               
## 70  ( 1 )  " "               "*"                " "               
## 71  ( 1 )  " "               "*"                " "               
## 72  ( 1 )  " "               "*"                " "               
## 73  ( 1 )  " "               "*"                " "               
## 74  ( 1 )  " "               "*"                " "               
## 75  ( 1 )  " "               "*"                " "               
## 76  ( 1 )  " "               "*"                " "               
## 77  ( 1 )  " "               "*"                " "               
## 78  ( 1 )  " "               "*"                " "               
## 79  ( 1 )  " "               "*"                " "               
## 80  ( 1 )  " "               "*"                " "               
## 81  ( 1 )  " "               "*"                " "               
## 82  ( 1 )  " "               "*"                " "               
## 83  ( 1 )  " "               "*"                " "               
## 84  ( 1 )  " "               "*"                " "               
## 85  ( 1 )  " "               "*"                " "               
## 86  ( 1 )  " "               "*"                " "               
## 87  ( 1 )  " "               "*"                " "               
## 88  ( 1 )  " "               "*"                " "               
## 89  ( 1 )  " "               "*"                " "               
## 90  ( 1 )  " "               "*"                " "               
## 91  ( 1 )  " "               "*"                " "               
## 92  ( 1 )  " "               "*"                " "               
## 93  ( 1 )  " "               "*"                " "               
## 94  ( 1 )  " "               "*"                " "               
## 95  ( 1 )  " "               "*"                " "               
## 96  ( 1 )  " "               "*"                " "               
## 97  ( 1 )  " "               "*"                " "               
## 98  ( 1 )  " "               "*"                " "               
## 99  ( 1 )  " "               "*"                " "               
## 100  ( 1 ) " "               "*"                " "               
## 101  ( 1 ) " "               "*"                " "               
## 102  ( 1 ) " "               "*"                " "               
## 103  ( 1 ) " "               "*"                " "               
## 104  ( 1 ) " "               "*"                " "               
## 105  ( 1 ) " "               "*"                " "               
## 106  ( 1 ) " "               "*"                " "               
## 107  ( 1 ) " "               "*"                " "               
## 108  ( 1 ) " "               "*"                " "               
## 109  ( 1 ) " "               "*"                " "               
## 110  ( 1 ) " "               "*"                "*"               
## 111  ( 1 ) " "               "*"                "*"               
## 112  ( 1 ) " "               "*"                "*"               
## 113  ( 1 ) " "               "*"                "*"               
## 114  ( 1 ) " "               "*"                "*"               
## 115  ( 1 ) " "               "*"                "*"               
## 116  ( 1 ) " "               "*"                "*"               
## 117  ( 1 ) " "               "*"                "*"               
## 118  ( 1 ) " "               "*"                "*"               
## 119  ( 1 ) " "               "*"                "*"               
## 120  ( 1 ) " "               "*"                "*"               
## 121  ( 1 ) " "               "*"                "*"               
## 122  ( 1 ) " "               "*"                "*"               
## 123  ( 1 ) " "               "*"                "*"               
## 124  ( 1 ) " "               "*"                "*"               
## 125  ( 1 ) " "               "*"                "*"               
## 126  ( 1 ) " "               "*"                "*"               
## 127  ( 1 ) " "               "*"                "*"               
## 128  ( 1 ) " "               "*"                "*"               
## 129  ( 1 ) " "               "*"                "*"               
## 130  ( 1 ) " "               "*"                "*"               
## 131  ( 1 ) " "               "*"                "*"               
## 132  ( 1 ) "*"               "*"                "*"               
## 133  ( 1 ) "*"               "*"                "*"               
## 134  ( 1 ) "*"               "*"                "*"               
## 135  ( 1 ) "*"               "*"                "*"               
## 136  ( 1 ) "*"               "*"                "*"               
## 137  ( 1 ) "*"               "*"                "*"               
## 138  ( 1 ) "*"               "*"                "*"               
## 139  ( 1 ) "*"               "*"                "*"               
## 140  ( 1 ) "*"               "*"                "*"               
## 141  ( 1 ) "*"               "*"                "*"               
## 142  ( 1 ) "*"               "*"                "*"               
## 143  ( 1 ) "*"               "*"                "*"               
## 144  ( 1 ) "*"               "*"                "*"               
## 145  ( 1 ) "*"               "*"                "*"               
## 146  ( 1 ) "*"               "*"                "*"               
## 147  ( 1 ) "*"               "*"                "*"               
## 148  ( 1 ) "*"               "*"                "*"               
## 149  ( 1 ) "*"               "*"                "*"               
## 150  ( 1 ) "*"               "*"                "*"               
## 151  ( 1 ) "*"               "*"                "*"               
##            Exterior1stImStucc Exterior1stMetalSd Exterior1stPlywood
## 1  ( 1 )   " "                " "                " "               
## 2  ( 1 )   " "                " "                " "               
## 3  ( 1 )   " "                " "                " "               
## 4  ( 1 )   " "                " "                " "               
## 5  ( 1 )   " "                " "                " "               
## 6  ( 1 )   " "                " "                " "               
## 7  ( 1 )   " "                " "                " "               
## 8  ( 1 )   " "                " "                " "               
## 9  ( 1 )   " "                " "                " "               
## 10  ( 1 )  " "                " "                " "               
## 11  ( 1 )  " "                " "                " "               
## 12  ( 1 )  " "                " "                " "               
## 13  ( 1 )  " "                " "                " "               
## 14  ( 1 )  " "                " "                " "               
## 15  ( 1 )  " "                " "                " "               
## 16  ( 1 )  " "                " "                " "               
## 17  ( 1 )  " "                " "                " "               
## 18  ( 1 )  " "                " "                " "               
## 19  ( 1 )  " "                " "                " "               
## 20  ( 1 )  " "                " "                " "               
## 21  ( 1 )  " "                " "                " "               
## 22  ( 1 )  " "                " "                " "               
## 23  ( 1 )  " "                " "                " "               
## 24  ( 1 )  " "                " "                " "               
## 25  ( 1 )  " "                " "                " "               
## 26  ( 1 )  " "                " "                " "               
## 27  ( 1 )  " "                " "                " "               
## 28  ( 1 )  " "                " "                " "               
## 29  ( 1 )  " "                " "                " "               
## 30  ( 1 )  " "                " "                " "               
## 31  ( 1 )  " "                " "                " "               
## 32  ( 1 )  " "                " "                " "               
## 33  ( 1 )  " "                " "                " "               
## 34  ( 1 )  " "                " "                " "               
## 35  ( 1 )  " "                " "                " "               
## 36  ( 1 )  " "                " "                " "               
## 37  ( 1 )  " "                " "                " "               
## 38  ( 1 )  " "                " "                " "               
## 39  ( 1 )  " "                " "                " "               
## 40  ( 1 )  " "                " "                " "               
## 41  ( 1 )  " "                " "                " "               
## 42  ( 1 )  " "                " "                " "               
## 43  ( 1 )  " "                " "                " "               
## 44  ( 1 )  " "                " "                " "               
## 45  ( 1 )  " "                " "                " "               
## 46  ( 1 )  " "                " "                " "               
## 47  ( 1 )  " "                " "                " "               
## 48  ( 1 )  " "                " "                " "               
## 49  ( 1 )  " "                " "                " "               
## 50  ( 1 )  " "                " "                " "               
## 51  ( 1 )  " "                " "                " "               
## 52  ( 1 )  " "                " "                " "               
## 53  ( 1 )  " "                " "                " "               
## 54  ( 1 )  " "                " "                " "               
## 55  ( 1 )  " "                " "                " "               
## 56  ( 1 )  " "                " "                " "               
## 57  ( 1 )  " "                " "                " "               
## 58  ( 1 )  " "                " "                " "               
## 59  ( 1 )  " "                " "                " "               
## 60  ( 1 )  " "                " "                " "               
## 61  ( 1 )  " "                " "                " "               
## 62  ( 1 )  " "                " "                " "               
## 63  ( 1 )  " "                " "                " "               
## 64  ( 1 )  " "                " "                " "               
## 65  ( 1 )  " "                " "                " "               
## 66  ( 1 )  " "                " "                " "               
## 67  ( 1 )  " "                " "                " "               
## 68  ( 1 )  " "                " "                " "               
## 69  ( 1 )  " "                " "                " "               
## 70  ( 1 )  " "                " "                " "               
## 71  ( 1 )  " "                "*"                " "               
## 72  ( 1 )  " "                "*"                " "               
## 73  ( 1 )  " "                "*"                " "               
## 74  ( 1 )  " "                "*"                " "               
## 75  ( 1 )  " "                "*"                " "               
## 76  ( 1 )  " "                "*"                " "               
## 77  ( 1 )  " "                "*"                " "               
## 78  ( 1 )  " "                "*"                " "               
## 79  ( 1 )  " "                "*"                " "               
## 80  ( 1 )  " "                "*"                " "               
## 81  ( 1 )  " "                "*"                " "               
## 82  ( 1 )  " "                "*"                " "               
## 83  ( 1 )  " "                "*"                " "               
## 84  ( 1 )  " "                "*"                " "               
## 85  ( 1 )  " "                "*"                " "               
## 86  ( 1 )  " "                "*"                " "               
## 87  ( 1 )  " "                "*"                " "               
## 88  ( 1 )  " "                "*"                " "               
## 89  ( 1 )  " "                "*"                " "               
## 90  ( 1 )  " "                "*"                " "               
## 91  ( 1 )  " "                "*"                " "               
## 92  ( 1 )  " "                "*"                " "               
## 93  ( 1 )  " "                "*"                " "               
## 94  ( 1 )  "*"                "*"                " "               
## 95  ( 1 )  "*"                "*"                " "               
## 96  ( 1 )  "*"                "*"                " "               
## 97  ( 1 )  "*"                "*"                " "               
## 98  ( 1 )  "*"                "*"                " "               
## 99  ( 1 )  "*"                "*"                " "               
## 100  ( 1 ) "*"                "*"                "*"               
## 101  ( 1 ) "*"                "*"                "*"               
## 102  ( 1 ) "*"                "*"                "*"               
## 103  ( 1 ) "*"                "*"                "*"               
## 104  ( 1 ) "*"                "*"                "*"               
## 105  ( 1 ) "*"                "*"                "*"               
## 106  ( 1 ) "*"                "*"                "*"               
## 107  ( 1 ) "*"                "*"                "*"               
## 108  ( 1 ) "*"                "*"                "*"               
## 109  ( 1 ) "*"                "*"                "*"               
## 110  ( 1 ) "*"                "*"                "*"               
## 111  ( 1 ) "*"                "*"                "*"               
## 112  ( 1 ) "*"                "*"                "*"               
## 113  ( 1 ) "*"                "*"                "*"               
## 114  ( 1 ) "*"                "*"                "*"               
## 115  ( 1 ) "*"                "*"                "*"               
## 116  ( 1 ) "*"                "*"                "*"               
## 117  ( 1 ) "*"                "*"                "*"               
## 118  ( 1 ) "*"                "*"                "*"               
## 119  ( 1 ) "*"                "*"                "*"               
## 120  ( 1 ) "*"                "*"                "*"               
## 121  ( 1 ) "*"                "*"                "*"               
## 122  ( 1 ) "*"                "*"                "*"               
## 123  ( 1 ) "*"                "*"                "*"               
## 124  ( 1 ) "*"                "*"                "*"               
## 125  ( 1 ) "*"                "*"                "*"               
## 126  ( 1 ) "*"                "*"                "*"               
## 127  ( 1 ) "*"                "*"                "*"               
## 128  ( 1 ) "*"                "*"                "*"               
## 129  ( 1 ) "*"                "*"                "*"               
## 130  ( 1 ) "*"                "*"                "*"               
## 131  ( 1 ) "*"                "*"                "*"               
## 132  ( 1 ) "*"                "*"                "*"               
## 133  ( 1 ) "*"                "*"                "*"               
## 134  ( 1 ) "*"                "*"                "*"               
## 135  ( 1 ) "*"                "*"                "*"               
## 136  ( 1 ) "*"                "*"                "*"               
## 137  ( 1 ) "*"                "*"                "*"               
## 138  ( 1 ) "*"                "*"                "*"               
## 139  ( 1 ) "*"                "*"                "*"               
## 140  ( 1 ) "*"                "*"                "*"               
## 141  ( 1 ) "*"                "*"                "*"               
## 142  ( 1 ) "*"                "*"                "*"               
## 143  ( 1 ) "*"                "*"                "*"               
## 144  ( 1 ) "*"                "*"                "*"               
## 145  ( 1 ) "*"                "*"                "*"               
## 146  ( 1 ) "*"                "*"                "*"               
## 147  ( 1 ) "*"                "*"                "*"               
## 148  ( 1 ) "*"                "*"                "*"               
## 149  ( 1 ) "*"                "*"                "*"               
## 150  ( 1 ) "*"                "*"                "*"               
## 151  ( 1 ) "*"                "*"                "*"               
##            Exterior1stStone Exterior1stStucco Exterior1stVinylSd
## 1  ( 1 )   " "              " "               " "               
## 2  ( 1 )   " "              " "               " "               
## 3  ( 1 )   " "              " "               " "               
## 4  ( 1 )   " "              " "               " "               
## 5  ( 1 )   " "              " "               " "               
## 6  ( 1 )   " "              " "               " "               
## 7  ( 1 )   " "              " "               " "               
## 8  ( 1 )   " "              " "               " "               
## 9  ( 1 )   " "              " "               " "               
## 10  ( 1 )  " "              " "               " "               
## 11  ( 1 )  " "              " "               " "               
## 12  ( 1 )  " "              " "               " "               
## 13  ( 1 )  " "              " "               " "               
## 14  ( 1 )  " "              " "               " "               
## 15  ( 1 )  " "              " "               " "               
## 16  ( 1 )  " "              " "               " "               
## 17  ( 1 )  " "              " "               " "               
## 18  ( 1 )  " "              " "               " "               
## 19  ( 1 )  " "              " "               " "               
## 20  ( 1 )  " "              " "               " "               
## 21  ( 1 )  " "              " "               " "               
## 22  ( 1 )  " "              " "               " "               
## 23  ( 1 )  " "              " "               " "               
## 24  ( 1 )  " "              " "               " "               
## 25  ( 1 )  " "              " "               " "               
## 26  ( 1 )  " "              " "               " "               
## 27  ( 1 )  " "              " "               " "               
## 28  ( 1 )  " "              " "               " "               
## 29  ( 1 )  " "              " "               " "               
## 30  ( 1 )  " "              " "               " "               
## 31  ( 1 )  " "              " "               " "               
## 32  ( 1 )  " "              " "               " "               
## 33  ( 1 )  " "              " "               " "               
## 34  ( 1 )  " "              " "               " "               
## 35  ( 1 )  " "              " "               " "               
## 36  ( 1 )  " "              " "               " "               
## 37  ( 1 )  " "              " "               " "               
## 38  ( 1 )  " "              " "               " "               
## 39  ( 1 )  " "              " "               " "               
## 40  ( 1 )  " "              " "               " "               
## 41  ( 1 )  " "              " "               " "               
## 42  ( 1 )  " "              " "               " "               
## 43  ( 1 )  " "              " "               " "               
## 44  ( 1 )  " "              " "               " "               
## 45  ( 1 )  " "              " "               " "               
## 46  ( 1 )  " "              " "               " "               
## 47  ( 1 )  " "              " "               " "               
## 48  ( 1 )  " "              " "               " "               
## 49  ( 1 )  " "              " "               " "               
## 50  ( 1 )  " "              " "               " "               
## 51  ( 1 )  " "              " "               " "               
## 52  ( 1 )  " "              " "               " "               
## 53  ( 1 )  " "              " "               " "               
## 54  ( 1 )  " "              " "               " "               
## 55  ( 1 )  " "              " "               " "               
## 56  ( 1 )  " "              " "               " "               
## 57  ( 1 )  " "              " "               " "               
## 58  ( 1 )  " "              " "               " "               
## 59  ( 1 )  " "              " "               " "               
## 60  ( 1 )  " "              " "               " "               
## 61  ( 1 )  " "              " "               " "               
## 62  ( 1 )  " "              " "               " "               
## 63  ( 1 )  " "              " "               " "               
## 64  ( 1 )  " "              " "               " "               
## 65  ( 1 )  " "              " "               " "               
## 66  ( 1 )  " "              " "               " "               
## 67  ( 1 )  " "              " "               " "               
## 68  ( 1 )  " "              " "               " "               
## 69  ( 1 )  " "              " "               " "               
## 70  ( 1 )  " "              " "               " "               
## 71  ( 1 )  " "              " "               " "               
## 72  ( 1 )  " "              " "               " "               
## 73  ( 1 )  " "              " "               " "               
## 74  ( 1 )  " "              " "               " "               
## 75  ( 1 )  " "              " "               " "               
## 76  ( 1 )  " "              " "               " "               
## 77  ( 1 )  " "              " "               " "               
## 78  ( 1 )  " "              " "               " "               
## 79  ( 1 )  " "              " "               " "               
## 80  ( 1 )  " "              " "               " "               
## 81  ( 1 )  " "              " "               " "               
## 82  ( 1 )  " "              " "               " "               
## 83  ( 1 )  " "              " "               " "               
## 84  ( 1 )  " "              " "               " "               
## 85  ( 1 )  " "              " "               " "               
## 86  ( 1 )  " "              " "               " "               
## 87  ( 1 )  " "              " "               " "               
## 88  ( 1 )  " "              " "               " "               
## 89  ( 1 )  " "              " "               " "               
## 90  ( 1 )  " "              " "               " "               
## 91  ( 1 )  " "              " "               " "               
## 92  ( 1 )  " "              " "               " "               
## 93  ( 1 )  " "              " "               " "               
## 94  ( 1 )  " "              " "               " "               
## 95  ( 1 )  " "              " "               " "               
## 96  ( 1 )  " "              " "               " "               
## 97  ( 1 )  " "              " "               " "               
## 98  ( 1 )  " "              " "               " "               
## 99  ( 1 )  " "              " "               " "               
## 100  ( 1 ) " "              " "               " "               
## 101  ( 1 ) " "              " "               " "               
## 102  ( 1 ) " "              " "               " "               
## 103  ( 1 ) " "              " "               " "               
## 104  ( 1 ) " "              " "               " "               
## 105  ( 1 ) " "              " "               " "               
## 106  ( 1 ) " "              " "               " "               
## 107  ( 1 ) " "              " "               " "               
## 108  ( 1 ) " "              " "               " "               
## 109  ( 1 ) " "              " "               " "               
## 110  ( 1 ) " "              " "               " "               
## 111  ( 1 ) " "              " "               " "               
## 112  ( 1 ) " "              " "               " "               
## 113  ( 1 ) " "              " "               " "               
## 114  ( 1 ) " "              " "               " "               
## 115  ( 1 ) " "              " "               " "               
## 116  ( 1 ) " "              " "               " "               
## 117  ( 1 ) " "              " "               " "               
## 118  ( 1 ) " "              " "               " "               
## 119  ( 1 ) " "              " "               " "               
## 120  ( 1 ) " "              " "               " "               
## 121  ( 1 ) " "              " "               " "               
## 122  ( 1 ) " "              " "               " "               
## 123  ( 1 ) " "              " "               " "               
## 124  ( 1 ) " "              " "               " "               
## 125  ( 1 ) " "              " "               " "               
## 126  ( 1 ) " "              " "               " "               
## 127  ( 1 ) " "              " "               " "               
## 128  ( 1 ) " "              " "               " "               
## 129  ( 1 ) " "              " "               " "               
## 130  ( 1 ) " "              " "               " "               
## 131  ( 1 ) " "              " "               " "               
## 132  ( 1 ) " "              " "               " "               
## 133  ( 1 ) " "              " "               " "               
## 134  ( 1 ) " "              " "               " "               
## 135  ( 1 ) " "              " "               " "               
## 136  ( 1 ) " "              " "               " "               
## 137  ( 1 ) " "              " "               " "               
## 138  ( 1 ) " "              " "               " "               
## 139  ( 1 ) " "              " "               " "               
## 140  ( 1 ) "*"              " "               " "               
## 141  ( 1 ) "*"              " "               " "               
## 142  ( 1 ) "*"              " "               " "               
## 143  ( 1 ) "*"              " "               " "               
## 144  ( 1 ) "*"              " "               " "               
## 145  ( 1 ) "*"              " "               " "               
## 146  ( 1 ) "*"              " "               " "               
## 147  ( 1 ) "*"              " "               " "               
## 148  ( 1 ) "*"              " "               " "               
## 149  ( 1 ) "*"              " "               " "               
## 150  ( 1 ) "*"              " "               " "               
## 151  ( 1 ) "*"              " "               " "               
##            Exterior1stWd.Sdng Exterior1stWdShing Exterior2ndAsphShn
## 1  ( 1 )   " "                " "                " "               
## 2  ( 1 )   " "                " "                " "               
## 3  ( 1 )   " "                " "                " "               
## 4  ( 1 )   " "                " "                " "               
## 5  ( 1 )   " "                " "                " "               
## 6  ( 1 )   " "                " "                " "               
## 7  ( 1 )   " "                " "                " "               
## 8  ( 1 )   " "                " "                " "               
## 9  ( 1 )   " "                " "                " "               
## 10  ( 1 )  " "                " "                " "               
## 11  ( 1 )  " "                " "                " "               
## 12  ( 1 )  " "                " "                " "               
## 13  ( 1 )  " "                " "                " "               
## 14  ( 1 )  " "                " "                " "               
## 15  ( 1 )  " "                " "                " "               
## 16  ( 1 )  " "                " "                " "               
## 17  ( 1 )  " "                " "                " "               
## 18  ( 1 )  " "                " "                " "               
## 19  ( 1 )  " "                " "                " "               
## 20  ( 1 )  " "                " "                " "               
## 21  ( 1 )  " "                " "                " "               
## 22  ( 1 )  " "                " "                " "               
## 23  ( 1 )  " "                " "                " "               
## 24  ( 1 )  " "                " "                " "               
## 25  ( 1 )  " "                " "                " "               
## 26  ( 1 )  " "                " "                " "               
## 27  ( 1 )  " "                " "                " "               
## 28  ( 1 )  " "                " "                " "               
## 29  ( 1 )  " "                " "                " "               
## 30  ( 1 )  " "                " "                " "               
## 31  ( 1 )  " "                " "                " "               
## 32  ( 1 )  " "                " "                " "               
## 33  ( 1 )  " "                " "                " "               
## 34  ( 1 )  " "                " "                " "               
## 35  ( 1 )  " "                " "                " "               
## 36  ( 1 )  " "                " "                " "               
## 37  ( 1 )  " "                " "                " "               
## 38  ( 1 )  " "                " "                " "               
## 39  ( 1 )  " "                " "                " "               
## 40  ( 1 )  " "                " "                " "               
## 41  ( 1 )  " "                " "                " "               
## 42  ( 1 )  " "                " "                " "               
## 43  ( 1 )  " "                " "                " "               
## 44  ( 1 )  " "                " "                " "               
## 45  ( 1 )  " "                " "                " "               
## 46  ( 1 )  " "                " "                " "               
## 47  ( 1 )  " "                " "                " "               
## 48  ( 1 )  " "                " "                " "               
## 49  ( 1 )  " "                " "                " "               
## 50  ( 1 )  " "                " "                " "               
## 51  ( 1 )  " "                " "                " "               
## 52  ( 1 )  " "                " "                " "               
## 53  ( 1 )  " "                " "                " "               
## 54  ( 1 )  " "                " "                " "               
## 55  ( 1 )  " "                " "                " "               
## 56  ( 1 )  " "                " "                " "               
## 57  ( 1 )  " "                " "                " "               
## 58  ( 1 )  " "                " "                " "               
## 59  ( 1 )  " "                " "                " "               
## 60  ( 1 )  " "                " "                " "               
## 61  ( 1 )  " "                " "                " "               
## 62  ( 1 )  " "                " "                " "               
## 63  ( 1 )  " "                " "                " "               
## 64  ( 1 )  " "                " "                " "               
## 65  ( 1 )  " "                " "                " "               
## 66  ( 1 )  " "                " "                " "               
## 67  ( 1 )  " "                " "                " "               
## 68  ( 1 )  " "                " "                " "               
## 69  ( 1 )  " "                " "                " "               
## 70  ( 1 )  " "                " "                " "               
## 71  ( 1 )  " "                " "                " "               
## 72  ( 1 )  " "                " "                " "               
## 73  ( 1 )  " "                " "                " "               
## 74  ( 1 )  " "                " "                " "               
## 75  ( 1 )  " "                " "                " "               
## 76  ( 1 )  " "                " "                " "               
## 77  ( 1 )  " "                " "                " "               
## 78  ( 1 )  " "                " "                " "               
## 79  ( 1 )  " "                " "                " "               
## 80  ( 1 )  " "                " "                " "               
## 81  ( 1 )  " "                " "                " "               
## 82  ( 1 )  " "                " "                " "               
## 83  ( 1 )  " "                " "                " "               
## 84  ( 1 )  " "                " "                " "               
## 85  ( 1 )  " "                " "                " "               
## 86  ( 1 )  " "                " "                " "               
## 87  ( 1 )  " "                " "                " "               
## 88  ( 1 )  " "                " "                " "               
## 89  ( 1 )  " "                " "                " "               
## 90  ( 1 )  " "                " "                " "               
## 91  ( 1 )  " "                " "                " "               
## 92  ( 1 )  " "                " "                " "               
## 93  ( 1 )  " "                " "                " "               
## 94  ( 1 )  " "                " "                " "               
## 95  ( 1 )  " "                " "                " "               
## 96  ( 1 )  " "                " "                " "               
## 97  ( 1 )  " "                " "                " "               
## 98  ( 1 )  " "                " "                " "               
## 99  ( 1 )  " "                " "                " "               
## 100  ( 1 ) " "                " "                " "               
## 101  ( 1 ) " "                " "                " "               
## 102  ( 1 ) " "                " "                " "               
## 103  ( 1 ) " "                " "                " "               
## 104  ( 1 ) " "                " "                " "               
## 105  ( 1 ) " "                " "                " "               
## 106  ( 1 ) " "                " "                " "               
## 107  ( 1 ) " "                " "                " "               
## 108  ( 1 ) " "                " "                " "               
## 109  ( 1 ) " "                " "                " "               
## 110  ( 1 ) " "                " "                " "               
## 111  ( 1 ) " "                " "                " "               
## 112  ( 1 ) " "                " "                " "               
## 113  ( 1 ) " "                " "                " "               
## 114  ( 1 ) " "                " "                " "               
## 115  ( 1 ) " "                " "                " "               
## 116  ( 1 ) " "                " "                " "               
## 117  ( 1 ) " "                " "                " "               
## 118  ( 1 ) " "                " "                " "               
## 119  ( 1 ) " "                "*"                " "               
## 120  ( 1 ) " "                "*"                " "               
## 121  ( 1 ) " "                "*"                " "               
## 122  ( 1 ) " "                "*"                " "               
## 123  ( 1 ) " "                "*"                " "               
## 124  ( 1 ) " "                "*"                " "               
## 125  ( 1 ) " "                "*"                " "               
## 126  ( 1 ) " "                "*"                " "               
## 127  ( 1 ) " "                "*"                " "               
## 128  ( 1 ) " "                "*"                " "               
## 129  ( 1 ) " "                "*"                " "               
## 130  ( 1 ) " "                "*"                " "               
## 131  ( 1 ) " "                "*"                " "               
## 132  ( 1 ) " "                "*"                " "               
## 133  ( 1 ) " "                "*"                " "               
## 134  ( 1 ) " "                "*"                " "               
## 135  ( 1 ) " "                "*"                " "               
## 136  ( 1 ) " "                "*"                " "               
## 137  ( 1 ) " "                "*"                " "               
## 138  ( 1 ) " "                "*"                " "               
## 139  ( 1 ) " "                "*"                " "               
## 140  ( 1 ) " "                "*"                " "               
## 141  ( 1 ) " "                "*"                " "               
## 142  ( 1 ) " "                "*"                " "               
## 143  ( 1 ) " "                "*"                " "               
## 144  ( 1 ) " "                "*"                " "               
## 145  ( 1 ) " "                "*"                " "               
## 146  ( 1 ) " "                "*"                " "               
## 147  ( 1 ) " "                "*"                " "               
## 148  ( 1 ) " "                "*"                " "               
## 149  ( 1 ) " "                "*"                " "               
## 150  ( 1 ) " "                "*"                " "               
## 151  ( 1 ) " "                "*"                " "               
##            Exterior2ndBrk.Cmn Exterior2ndBrkFace Exterior2ndCBlock
## 1  ( 1 )   " "                " "                " "              
## 2  ( 1 )   " "                " "                " "              
## 3  ( 1 )   " "                " "                " "              
## 4  ( 1 )   " "                " "                " "              
## 5  ( 1 )   " "                " "                " "              
## 6  ( 1 )   " "                " "                " "              
## 7  ( 1 )   " "                " "                " "              
## 8  ( 1 )   " "                " "                " "              
## 9  ( 1 )   " "                " "                " "              
## 10  ( 1 )  " "                " "                " "              
## 11  ( 1 )  " "                " "                " "              
## 12  ( 1 )  " "                " "                " "              
## 13  ( 1 )  " "                " "                " "              
## 14  ( 1 )  " "                " "                " "              
## 15  ( 1 )  " "                " "                " "              
## 16  ( 1 )  " "                " "                " "              
## 17  ( 1 )  " "                " "                " "              
## 18  ( 1 )  " "                " "                " "              
## 19  ( 1 )  " "                " "                " "              
## 20  ( 1 )  " "                " "                " "              
## 21  ( 1 )  " "                " "                " "              
## 22  ( 1 )  " "                " "                " "              
## 23  ( 1 )  " "                " "                " "              
## 24  ( 1 )  " "                " "                " "              
## 25  ( 1 )  " "                " "                " "              
## 26  ( 1 )  " "                " "                " "              
## 27  ( 1 )  " "                " "                " "              
## 28  ( 1 )  " "                " "                " "              
## 29  ( 1 )  " "                " "                " "              
## 30  ( 1 )  " "                " "                " "              
## 31  ( 1 )  " "                " "                " "              
## 32  ( 1 )  " "                " "                " "              
## 33  ( 1 )  " "                " "                " "              
## 34  ( 1 )  " "                " "                " "              
## 35  ( 1 )  " "                " "                " "              
## 36  ( 1 )  " "                " "                " "              
## 37  ( 1 )  " "                " "                " "              
## 38  ( 1 )  " "                " "                " "              
## 39  ( 1 )  " "                " "                " "              
## 40  ( 1 )  " "                " "                " "              
## 41  ( 1 )  " "                " "                " "              
## 42  ( 1 )  " "                " "                " "              
## 43  ( 1 )  " "                " "                " "              
## 44  ( 1 )  " "                " "                " "              
## 45  ( 1 )  " "                " "                " "              
## 46  ( 1 )  " "                " "                " "              
## 47  ( 1 )  " "                " "                " "              
## 48  ( 1 )  " "                " "                " "              
## 49  ( 1 )  " "                " "                " "              
## 50  ( 1 )  " "                " "                " "              
## 51  ( 1 )  " "                " "                " "              
## 52  ( 1 )  " "                " "                " "              
## 53  ( 1 )  " "                " "                " "              
## 54  ( 1 )  " "                " "                " "              
## 55  ( 1 )  " "                " "                " "              
## 56  ( 1 )  " "                " "                " "              
## 57  ( 1 )  " "                " "                " "              
## 58  ( 1 )  " "                " "                " "              
## 59  ( 1 )  " "                " "                " "              
## 60  ( 1 )  " "                " "                " "              
## 61  ( 1 )  " "                " "                " "              
## 62  ( 1 )  " "                " "                " "              
## 63  ( 1 )  " "                " "                " "              
## 64  ( 1 )  " "                " "                " "              
## 65  ( 1 )  " "                " "                " "              
## 66  ( 1 )  " "                " "                " "              
## 67  ( 1 )  " "                " "                " "              
## 68  ( 1 )  " "                " "                " "              
## 69  ( 1 )  " "                " "                " "              
## 70  ( 1 )  " "                " "                " "              
## 71  ( 1 )  " "                " "                " "              
## 72  ( 1 )  " "                " "                " "              
## 73  ( 1 )  " "                " "                " "              
## 74  ( 1 )  " "                " "                " "              
## 75  ( 1 )  " "                " "                " "              
## 76  ( 1 )  " "                " "                " "              
## 77  ( 1 )  " "                " "                " "              
## 78  ( 1 )  " "                " "                " "              
## 79  ( 1 )  " "                " "                " "              
## 80  ( 1 )  " "                " "                " "              
## 81  ( 1 )  " "                " "                " "              
## 82  ( 1 )  " "                " "                " "              
## 83  ( 1 )  " "                " "                " "              
## 84  ( 1 )  " "                " "                " "              
## 85  ( 1 )  " "                " "                " "              
## 86  ( 1 )  " "                " "                " "              
## 87  ( 1 )  " "                " "                " "              
## 88  ( 1 )  " "                " "                " "              
## 89  ( 1 )  " "                " "                " "              
## 90  ( 1 )  " "                " "                " "              
## 91  ( 1 )  " "                " "                " "              
## 92  ( 1 )  " "                " "                " "              
## 93  ( 1 )  " "                " "                " "              
## 94  ( 1 )  " "                " "                " "              
## 95  ( 1 )  " "                " "                " "              
## 96  ( 1 )  " "                " "                " "              
## 97  ( 1 )  " "                " "                " "              
## 98  ( 1 )  " "                " "                " "              
## 99  ( 1 )  " "                " "                " "              
## 100  ( 1 ) " "                " "                " "              
## 101  ( 1 ) " "                " "                " "              
## 102  ( 1 ) " "                " "                " "              
## 103  ( 1 ) " "                " "                " "              
## 104  ( 1 ) " "                " "                " "              
## 105  ( 1 ) " "                " "                " "              
## 106  ( 1 ) " "                " "                " "              
## 107  ( 1 ) " "                " "                " "              
## 108  ( 1 ) " "                " "                " "              
## 109  ( 1 ) " "                " "                " "              
## 110  ( 1 ) " "                " "                " "              
## 111  ( 1 ) " "                " "                " "              
## 112  ( 1 ) " "                " "                " "              
## 113  ( 1 ) " "                " "                " "              
## 114  ( 1 ) " "                " "                " "              
## 115  ( 1 ) " "                " "                " "              
## 116  ( 1 ) " "                " "                " "              
## 117  ( 1 ) " "                " "                " "              
## 118  ( 1 ) " "                " "                " "              
## 119  ( 1 ) " "                " "                " "              
## 120  ( 1 ) " "                " "                " "              
## 121  ( 1 ) " "                " "                " "              
## 122  ( 1 ) " "                " "                " "              
## 123  ( 1 ) " "                " "                " "              
## 124  ( 1 ) " "                " "                " "              
## 125  ( 1 ) " "                " "                " "              
## 126  ( 1 ) " "                " "                " "              
## 127  ( 1 ) " "                " "                " "              
## 128  ( 1 ) " "                " "                " "              
## 129  ( 1 ) " "                " "                " "              
## 130  ( 1 ) " "                " "                " "              
## 131  ( 1 ) " "                " "                " "              
## 132  ( 1 ) " "                " "                " "              
## 133  ( 1 ) " "                " "                " "              
## 134  ( 1 ) " "                " "                " "              
## 135  ( 1 ) " "                " "                " "              
## 136  ( 1 ) " "                " "                " "              
## 137  ( 1 ) " "                " "                " "              
## 138  ( 1 ) " "                " "                " "              
## 139  ( 1 ) "*"                " "                " "              
## 140  ( 1 ) "*"                " "                " "              
## 141  ( 1 ) "*"                " "                " "              
## 142  ( 1 ) "*"                " "                " "              
## 143  ( 1 ) "*"                " "                " "              
## 144  ( 1 ) "*"                "*"                " "              
## 145  ( 1 ) "*"                "*"                " "              
## 146  ( 1 ) "*"                "*"                " "              
## 147  ( 1 ) "*"                "*"                " "              
## 148  ( 1 ) "*"                "*"                " "              
## 149  ( 1 ) "*"                "*"                " "              
## 150  ( 1 ) "*"                "*"                " "              
## 151  ( 1 ) "*"                "*"                " "              
##            Exterior2ndCmentBd Exterior2ndHdBoard Exterior2ndImStucc
## 1  ( 1 )   " "                " "                " "               
## 2  ( 1 )   " "                " "                " "               
## 3  ( 1 )   " "                " "                " "               
## 4  ( 1 )   " "                " "                " "               
## 5  ( 1 )   " "                " "                " "               
## 6  ( 1 )   " "                " "                " "               
## 7  ( 1 )   " "                " "                " "               
## 8  ( 1 )   " "                " "                " "               
## 9  ( 1 )   " "                " "                " "               
## 10  ( 1 )  " "                " "                " "               
## 11  ( 1 )  " "                " "                " "               
## 12  ( 1 )  " "                " "                " "               
## 13  ( 1 )  " "                " "                " "               
## 14  ( 1 )  " "                " "                " "               
## 15  ( 1 )  " "                " "                " "               
## 16  ( 1 )  " "                " "                " "               
## 17  ( 1 )  " "                " "                " "               
## 18  ( 1 )  " "                " "                " "               
## 19  ( 1 )  " "                " "                " "               
## 20  ( 1 )  " "                " "                " "               
## 21  ( 1 )  " "                " "                " "               
## 22  ( 1 )  " "                " "                " "               
## 23  ( 1 )  " "                " "                " "               
## 24  ( 1 )  " "                " "                " "               
## 25  ( 1 )  " "                " "                " "               
## 26  ( 1 )  " "                " "                " "               
## 27  ( 1 )  " "                " "                " "               
## 28  ( 1 )  " "                " "                " "               
## 29  ( 1 )  " "                " "                " "               
## 30  ( 1 )  " "                " "                " "               
## 31  ( 1 )  " "                " "                " "               
## 32  ( 1 )  " "                " "                " "               
## 33  ( 1 )  " "                " "                " "               
## 34  ( 1 )  " "                " "                " "               
## 35  ( 1 )  " "                " "                " "               
## 36  ( 1 )  " "                " "                " "               
## 37  ( 1 )  " "                " "                " "               
## 38  ( 1 )  " "                " "                " "               
## 39  ( 1 )  " "                " "                " "               
## 40  ( 1 )  " "                " "                " "               
## 41  ( 1 )  " "                " "                " "               
## 42  ( 1 )  " "                " "                " "               
## 43  ( 1 )  " "                " "                " "               
## 44  ( 1 )  " "                " "                " "               
## 45  ( 1 )  " "                " "                " "               
## 46  ( 1 )  " "                " "                " "               
## 47  ( 1 )  " "                " "                " "               
## 48  ( 1 )  " "                " "                " "               
## 49  ( 1 )  " "                " "                " "               
## 50  ( 1 )  " "                " "                " "               
## 51  ( 1 )  " "                " "                " "               
## 52  ( 1 )  " "                " "                " "               
## 53  ( 1 )  " "                " "                " "               
## 54  ( 1 )  " "                " "                " "               
## 55  ( 1 )  " "                " "                " "               
## 56  ( 1 )  " "                " "                " "               
## 57  ( 1 )  " "                " "                " "               
## 58  ( 1 )  " "                " "                " "               
## 59  ( 1 )  " "                " "                " "               
## 60  ( 1 )  " "                " "                " "               
## 61  ( 1 )  " "                " "                " "               
## 62  ( 1 )  " "                " "                " "               
## 63  ( 1 )  " "                " "                " "               
## 64  ( 1 )  " "                " "                " "               
## 65  ( 1 )  " "                " "                " "               
## 66  ( 1 )  " "                " "                " "               
## 67  ( 1 )  " "                " "                " "               
## 68  ( 1 )  " "                " "                " "               
## 69  ( 1 )  " "                " "                " "               
## 70  ( 1 )  " "                " "                " "               
## 71  ( 1 )  " "                " "                " "               
## 72  ( 1 )  " "                " "                " "               
## 73  ( 1 )  " "                " "                " "               
## 74  ( 1 )  " "                " "                " "               
## 75  ( 1 )  " "                " "                " "               
## 76  ( 1 )  " "                " "                " "               
## 77  ( 1 )  " "                " "                "*"               
## 78  ( 1 )  " "                " "                "*"               
## 79  ( 1 )  " "                " "                "*"               
## 80  ( 1 )  " "                " "                "*"               
## 81  ( 1 )  " "                " "                "*"               
## 82  ( 1 )  " "                " "                "*"               
## 83  ( 1 )  " "                " "                "*"               
## 84  ( 1 )  " "                " "                "*"               
## 85  ( 1 )  " "                " "                "*"               
## 86  ( 1 )  " "                " "                "*"               
## 87  ( 1 )  " "                " "                "*"               
## 88  ( 1 )  " "                " "                "*"               
## 89  ( 1 )  " "                " "                "*"               
## 90  ( 1 )  " "                " "                "*"               
## 91  ( 1 )  " "                " "                "*"               
## 92  ( 1 )  " "                " "                "*"               
## 93  ( 1 )  " "                " "                "*"               
## 94  ( 1 )  " "                " "                "*"               
## 95  ( 1 )  " "                " "                "*"               
## 96  ( 1 )  " "                " "                "*"               
## 97  ( 1 )  " "                " "                "*"               
## 98  ( 1 )  " "                " "                "*"               
## 99  ( 1 )  " "                " "                "*"               
## 100  ( 1 ) " "                " "                "*"               
## 101  ( 1 ) " "                " "                "*"               
## 102  ( 1 ) " "                " "                "*"               
## 103  ( 1 ) " "                " "                "*"               
## 104  ( 1 ) " "                " "                "*"               
## 105  ( 1 ) " "                " "                "*"               
## 106  ( 1 ) " "                " "                "*"               
## 107  ( 1 ) " "                " "                "*"               
## 108  ( 1 ) " "                " "                "*"               
## 109  ( 1 ) " "                " "                "*"               
## 110  ( 1 ) " "                " "                "*"               
## 111  ( 1 ) " "                " "                "*"               
## 112  ( 1 ) " "                " "                "*"               
## 113  ( 1 ) " "                " "                "*"               
## 114  ( 1 ) " "                " "                "*"               
## 115  ( 1 ) " "                " "                "*"               
## 116  ( 1 ) " "                " "                "*"               
## 117  ( 1 ) " "                " "                "*"               
## 118  ( 1 ) " "                " "                "*"               
## 119  ( 1 ) " "                " "                "*"               
## 120  ( 1 ) " "                " "                "*"               
## 121  ( 1 ) " "                " "                "*"               
## 122  ( 1 ) " "                " "                "*"               
## 123  ( 1 ) " "                " "                "*"               
## 124  ( 1 ) " "                " "                "*"               
## 125  ( 1 ) " "                " "                "*"               
## 126  ( 1 ) " "                " "                "*"               
## 127  ( 1 ) " "                " "                "*"               
## 128  ( 1 ) " "                " "                "*"               
## 129  ( 1 ) " "                " "                "*"               
## 130  ( 1 ) " "                " "                "*"               
## 131  ( 1 ) " "                " "                "*"               
## 132  ( 1 ) " "                " "                "*"               
## 133  ( 1 ) " "                " "                "*"               
## 134  ( 1 ) " "                " "                "*"               
## 135  ( 1 ) " "                " "                "*"               
## 136  ( 1 ) " "                " "                "*"               
## 137  ( 1 ) " "                " "                "*"               
## 138  ( 1 ) " "                " "                "*"               
## 139  ( 1 ) " "                " "                "*"               
## 140  ( 1 ) " "                " "                "*"               
## 141  ( 1 ) " "                " "                "*"               
## 142  ( 1 ) " "                " "                "*"               
## 143  ( 1 ) " "                " "                "*"               
## 144  ( 1 ) " "                " "                "*"               
## 145  ( 1 ) " "                " "                "*"               
## 146  ( 1 ) "*"                " "                "*"               
## 147  ( 1 ) "*"                " "                "*"               
## 148  ( 1 ) "*"                " "                "*"               
## 149  ( 1 ) "*"                " "                "*"               
## 150  ( 1 ) "*"                " "                "*"               
## 151  ( 1 ) "*"                " "                "*"               
##            Exterior2ndMetalSd Exterior2ndOther Exterior2ndPlywood
## 1  ( 1 )   " "                " "              " "               
## 2  ( 1 )   " "                " "              " "               
## 3  ( 1 )   " "                " "              " "               
## 4  ( 1 )   " "                " "              " "               
## 5  ( 1 )   " "                " "              " "               
## 6  ( 1 )   " "                " "              " "               
## 7  ( 1 )   " "                " "              " "               
## 8  ( 1 )   " "                " "              " "               
## 9  ( 1 )   " "                " "              " "               
## 10  ( 1 )  " "                " "              " "               
## 11  ( 1 )  " "                " "              " "               
## 12  ( 1 )  " "                " "              " "               
## 13  ( 1 )  " "                " "              " "               
## 14  ( 1 )  " "                " "              " "               
## 15  ( 1 )  " "                " "              " "               
## 16  ( 1 )  " "                " "              " "               
## 17  ( 1 )  " "                " "              " "               
## 18  ( 1 )  " "                " "              " "               
## 19  ( 1 )  " "                " "              " "               
## 20  ( 1 )  " "                " "              " "               
## 21  ( 1 )  " "                " "              " "               
## 22  ( 1 )  " "                " "              " "               
## 23  ( 1 )  " "                " "              " "               
## 24  ( 1 )  " "                " "              " "               
## 25  ( 1 )  " "                " "              " "               
## 26  ( 1 )  " "                " "              " "               
## 27  ( 1 )  " "                " "              " "               
## 28  ( 1 )  " "                " "              " "               
## 29  ( 1 )  " "                " "              " "               
## 30  ( 1 )  " "                " "              " "               
## 31  ( 1 )  " "                " "              " "               
## 32  ( 1 )  " "                " "              " "               
## 33  ( 1 )  " "                " "              " "               
## 34  ( 1 )  " "                " "              " "               
## 35  ( 1 )  " "                " "              " "               
## 36  ( 1 )  " "                " "              " "               
## 37  ( 1 )  " "                " "              " "               
## 38  ( 1 )  " "                " "              " "               
## 39  ( 1 )  " "                " "              " "               
## 40  ( 1 )  " "                " "              " "               
## 41  ( 1 )  " "                " "              " "               
## 42  ( 1 )  " "                " "              " "               
## 43  ( 1 )  " "                " "              " "               
## 44  ( 1 )  " "                " "              " "               
## 45  ( 1 )  " "                " "              " "               
## 46  ( 1 )  " "                " "              " "               
## 47  ( 1 )  " "                " "              " "               
## 48  ( 1 )  " "                " "              " "               
## 49  ( 1 )  " "                " "              " "               
## 50  ( 1 )  " "                " "              " "               
## 51  ( 1 )  " "                " "              " "               
## 52  ( 1 )  " "                " "              " "               
## 53  ( 1 )  " "                " "              " "               
## 54  ( 1 )  " "                " "              " "               
## 55  ( 1 )  " "                " "              " "               
## 56  ( 1 )  " "                " "              " "               
## 57  ( 1 )  " "                " "              " "               
## 58  ( 1 )  " "                " "              " "               
## 59  ( 1 )  " "                " "              " "               
## 60  ( 1 )  " "                " "              " "               
## 61  ( 1 )  " "                " "              " "               
## 62  ( 1 )  " "                " "              " "               
## 63  ( 1 )  " "                " "              " "               
## 64  ( 1 )  " "                " "              " "               
## 65  ( 1 )  " "                " "              " "               
## 66  ( 1 )  " "                "*"              " "               
## 67  ( 1 )  " "                "*"              " "               
## 68  ( 1 )  " "                "*"              " "               
## 69  ( 1 )  " "                "*"              " "               
## 70  ( 1 )  " "                "*"              " "               
## 71  ( 1 )  " "                "*"              " "               
## 72  ( 1 )  " "                "*"              " "               
## 73  ( 1 )  " "                "*"              " "               
## 74  ( 1 )  " "                "*"              " "               
## 75  ( 1 )  " "                "*"              " "               
## 76  ( 1 )  " "                "*"              " "               
## 77  ( 1 )  " "                "*"              " "               
## 78  ( 1 )  " "                "*"              " "               
## 79  ( 1 )  " "                "*"              " "               
## 80  ( 1 )  " "                "*"              " "               
## 81  ( 1 )  " "                "*"              " "               
## 82  ( 1 )  " "                "*"              " "               
## 83  ( 1 )  " "                "*"              " "               
## 84  ( 1 )  " "                "*"              " "               
## 85  ( 1 )  " "                "*"              " "               
## 86  ( 1 )  " "                "*"              " "               
## 87  ( 1 )  " "                "*"              " "               
## 88  ( 1 )  " "                "*"              " "               
## 89  ( 1 )  " "                "*"              " "               
## 90  ( 1 )  " "                "*"              " "               
## 91  ( 1 )  " "                "*"              " "               
## 92  ( 1 )  " "                "*"              " "               
## 93  ( 1 )  " "                "*"              " "               
## 94  ( 1 )  " "                "*"              " "               
## 95  ( 1 )  " "                "*"              " "               
## 96  ( 1 )  " "                "*"              " "               
## 97  ( 1 )  " "                "*"              " "               
## 98  ( 1 )  " "                "*"              " "               
## 99  ( 1 )  " "                "*"              " "               
## 100  ( 1 ) " "                "*"              " "               
## 101  ( 1 ) " "                "*"              " "               
## 102  ( 1 ) " "                "*"              " "               
## 103  ( 1 ) " "                "*"              " "               
## 104  ( 1 ) " "                "*"              " "               
## 105  ( 1 ) " "                "*"              " "               
## 106  ( 1 ) " "                "*"              " "               
## 107  ( 1 ) " "                "*"              " "               
## 108  ( 1 ) " "                "*"              " "               
## 109  ( 1 ) " "                "*"              " "               
## 110  ( 1 ) " "                "*"              " "               
## 111  ( 1 ) " "                "*"              " "               
## 112  ( 1 ) " "                "*"              " "               
## 113  ( 1 ) " "                "*"              " "               
## 114  ( 1 ) " "                "*"              " "               
## 115  ( 1 ) " "                "*"              " "               
## 116  ( 1 ) " "                "*"              " "               
## 117  ( 1 ) " "                "*"              " "               
## 118  ( 1 ) " "                "*"              " "               
## 119  ( 1 ) " "                "*"              " "               
## 120  ( 1 ) " "                "*"              " "               
## 121  ( 1 ) " "                "*"              " "               
## 122  ( 1 ) " "                "*"              " "               
## 123  ( 1 ) " "                "*"              " "               
## 124  ( 1 ) " "                "*"              " "               
## 125  ( 1 ) " "                "*"              " "               
## 126  ( 1 ) " "                "*"              " "               
## 127  ( 1 ) " "                "*"              " "               
## 128  ( 1 ) " "                "*"              " "               
## 129  ( 1 ) " "                "*"              " "               
## 130  ( 1 ) " "                "*"              " "               
## 131  ( 1 ) " "                "*"              " "               
## 132  ( 1 ) " "                "*"              " "               
## 133  ( 1 ) " "                "*"              " "               
## 134  ( 1 ) " "                "*"              " "               
## 135  ( 1 ) " "                "*"              " "               
## 136  ( 1 ) " "                "*"              " "               
## 137  ( 1 ) " "                "*"              " "               
## 138  ( 1 ) " "                "*"              " "               
## 139  ( 1 ) " "                "*"              " "               
## 140  ( 1 ) " "                "*"              " "               
## 141  ( 1 ) " "                "*"              " "               
## 142  ( 1 ) " "                "*"              " "               
## 143  ( 1 ) " "                "*"              " "               
## 144  ( 1 ) " "                "*"              " "               
## 145  ( 1 ) " "                "*"              " "               
## 146  ( 1 ) " "                "*"              " "               
## 147  ( 1 ) " "                "*"              " "               
## 148  ( 1 ) " "                "*"              " "               
## 149  ( 1 ) " "                "*"              " "               
## 150  ( 1 ) " "                "*"              " "               
## 151  ( 1 ) " "                "*"              " "               
##            Exterior2ndStone Exterior2ndStucco Exterior2ndVinylSd
## 1  ( 1 )   " "              " "               " "               
## 2  ( 1 )   " "              " "               " "               
## 3  ( 1 )   " "              " "               " "               
## 4  ( 1 )   " "              " "               " "               
## 5  ( 1 )   " "              " "               " "               
## 6  ( 1 )   " "              " "               " "               
## 7  ( 1 )   " "              " "               " "               
## 8  ( 1 )   " "              " "               " "               
## 9  ( 1 )   " "              " "               " "               
## 10  ( 1 )  " "              " "               " "               
## 11  ( 1 )  " "              " "               " "               
## 12  ( 1 )  " "              " "               " "               
## 13  ( 1 )  " "              " "               " "               
## 14  ( 1 )  " "              " "               " "               
## 15  ( 1 )  " "              " "               " "               
## 16  ( 1 )  " "              " "               " "               
## 17  ( 1 )  " "              " "               " "               
## 18  ( 1 )  " "              " "               " "               
## 19  ( 1 )  " "              " "               " "               
## 20  ( 1 )  " "              " "               " "               
## 21  ( 1 )  " "              " "               " "               
## 22  ( 1 )  " "              " "               " "               
## 23  ( 1 )  " "              " "               " "               
## 24  ( 1 )  " "              " "               " "               
## 25  ( 1 )  " "              " "               " "               
## 26  ( 1 )  " "              " "               " "               
## 27  ( 1 )  " "              " "               " "               
## 28  ( 1 )  " "              " "               " "               
## 29  ( 1 )  " "              " "               " "               
## 30  ( 1 )  " "              " "               " "               
## 31  ( 1 )  " "              " "               " "               
## 32  ( 1 )  " "              " "               " "               
## 33  ( 1 )  " "              " "               " "               
## 34  ( 1 )  " "              " "               " "               
## 35  ( 1 )  " "              " "               " "               
## 36  ( 1 )  " "              " "               " "               
## 37  ( 1 )  " "              " "               " "               
## 38  ( 1 )  " "              " "               " "               
## 39  ( 1 )  " "              " "               " "               
## 40  ( 1 )  " "              " "               " "               
## 41  ( 1 )  " "              " "               " "               
## 42  ( 1 )  " "              " "               " "               
## 43  ( 1 )  " "              " "               " "               
## 44  ( 1 )  " "              " "               " "               
## 45  ( 1 )  " "              " "               " "               
## 46  ( 1 )  " "              " "               " "               
## 47  ( 1 )  " "              " "               " "               
## 48  ( 1 )  " "              " "               " "               
## 49  ( 1 )  " "              " "               " "               
## 50  ( 1 )  " "              " "               " "               
## 51  ( 1 )  " "              " "               " "               
## 52  ( 1 )  " "              " "               " "               
## 53  ( 1 )  " "              " "               " "               
## 54  ( 1 )  " "              " "               " "               
## 55  ( 1 )  " "              " "               " "               
## 56  ( 1 )  " "              " "               " "               
## 57  ( 1 )  " "              " "               " "               
## 58  ( 1 )  " "              " "               " "               
## 59  ( 1 )  " "              " "               " "               
## 60  ( 1 )  " "              " "               " "               
## 61  ( 1 )  " "              " "               " "               
## 62  ( 1 )  " "              " "               " "               
## 63  ( 1 )  " "              " "               " "               
## 64  ( 1 )  " "              " "               " "               
## 65  ( 1 )  " "              " "               " "               
## 66  ( 1 )  " "              " "               " "               
## 67  ( 1 )  " "              " "               " "               
## 68  ( 1 )  " "              " "               " "               
## 69  ( 1 )  " "              " "               " "               
## 70  ( 1 )  " "              " "               " "               
## 71  ( 1 )  " "              " "               " "               
## 72  ( 1 )  " "              " "               " "               
## 73  ( 1 )  " "              " "               " "               
## 74  ( 1 )  " "              " "               " "               
## 75  ( 1 )  " "              " "               " "               
## 76  ( 1 )  " "              " "               " "               
## 77  ( 1 )  " "              " "               " "               
## 78  ( 1 )  " "              " "               " "               
## 79  ( 1 )  " "              " "               " "               
## 80  ( 1 )  " "              " "               " "               
## 81  ( 1 )  " "              " "               " "               
## 82  ( 1 )  " "              " "               " "               
## 83  ( 1 )  " "              " "               " "               
## 84  ( 1 )  " "              " "               " "               
## 85  ( 1 )  " "              " "               " "               
## 86  ( 1 )  " "              " "               " "               
## 87  ( 1 )  " "              " "               " "               
## 88  ( 1 )  " "              " "               " "               
## 89  ( 1 )  " "              " "               " "               
## 90  ( 1 )  " "              " "               " "               
## 91  ( 1 )  " "              " "               " "               
## 92  ( 1 )  " "              " "               " "               
## 93  ( 1 )  " "              " "               " "               
## 94  ( 1 )  " "              " "               " "               
## 95  ( 1 )  " "              " "               " "               
## 96  ( 1 )  " "              " "               " "               
## 97  ( 1 )  " "              " "               " "               
## 98  ( 1 )  " "              " "               " "               
## 99  ( 1 )  " "              " "               " "               
## 100  ( 1 ) " "              " "               " "               
## 101  ( 1 ) " "              " "               " "               
## 102  ( 1 ) " "              " "               " "               
## 103  ( 1 ) " "              " "               " "               
## 104  ( 1 ) " "              " "               " "               
## 105  ( 1 ) " "              " "               " "               
## 106  ( 1 ) " "              " "               " "               
## 107  ( 1 ) " "              " "               " "               
## 108  ( 1 ) " "              " "               " "               
## 109  ( 1 ) " "              " "               " "               
## 110  ( 1 ) " "              " "               " "               
## 111  ( 1 ) " "              " "               " "               
## 112  ( 1 ) " "              " "               " "               
## 113  ( 1 ) " "              " "               " "               
## 114  ( 1 ) " "              " "               " "               
## 115  ( 1 ) " "              " "               " "               
## 116  ( 1 ) " "              " "               " "               
## 117  ( 1 ) " "              " "               " "               
## 118  ( 1 ) " "              " "               " "               
## 119  ( 1 ) " "              " "               " "               
## 120  ( 1 ) " "              " "               " "               
## 121  ( 1 ) " "              " "               " "               
## 122  ( 1 ) " "              " "               " "               
## 123  ( 1 ) " "              " "               " "               
## 124  ( 1 ) " "              " "               " "               
## 125  ( 1 ) " "              " "               " "               
## 126  ( 1 ) " "              " "               " "               
## 127  ( 1 ) " "              " "               " "               
## 128  ( 1 ) " "              " "               " "               
## 129  ( 1 ) " "              " "               " "               
## 130  ( 1 ) " "              " "               " "               
## 131  ( 1 ) " "              " "               " "               
## 132  ( 1 ) " "              " "               " "               
## 133  ( 1 ) " "              " "               " "               
## 134  ( 1 ) " "              " "               " "               
## 135  ( 1 ) " "              " "               " "               
## 136  ( 1 ) " "              " "               " "               
## 137  ( 1 ) " "              " "               " "               
## 138  ( 1 ) " "              " "               " "               
## 139  ( 1 ) " "              " "               " "               
## 140  ( 1 ) " "              " "               " "               
## 141  ( 1 ) " "              " "               " "               
## 142  ( 1 ) " "              " "               " "               
## 143  ( 1 ) "*"              " "               " "               
## 144  ( 1 ) "*"              " "               " "               
## 145  ( 1 ) "*"              " "               " "               
## 146  ( 1 ) "*"              " "               " "               
## 147  ( 1 ) "*"              " "               " "               
## 148  ( 1 ) "*"              " "               " "               
## 149  ( 1 ) "*"              " "               " "               
## 150  ( 1 ) "*"              " "               " "               
## 151  ( 1 ) "*"              " "               " "               
##            Exterior2ndWd.Sdng Exterior2ndWd.Shng MasVnrTypeBrkFace
## 1  ( 1 )   " "                " "                " "              
## 2  ( 1 )   " "                " "                " "              
## 3  ( 1 )   " "                " "                " "              
## 4  ( 1 )   " "                " "                " "              
## 5  ( 1 )   " "                " "                " "              
## 6  ( 1 )   " "                " "                " "              
## 7  ( 1 )   " "                " "                " "              
## 8  ( 1 )   " "                " "                " "              
## 9  ( 1 )   " "                " "                " "              
## 10  ( 1 )  " "                " "                " "              
## 11  ( 1 )  " "                " "                " "              
## 12  ( 1 )  " "                " "                " "              
## 13  ( 1 )  " "                " "                " "              
## 14  ( 1 )  " "                " "                " "              
## 15  ( 1 )  " "                " "                " "              
## 16  ( 1 )  " "                " "                " "              
## 17  ( 1 )  " "                " "                " "              
## 18  ( 1 )  " "                " "                " "              
## 19  ( 1 )  " "                " "                " "              
## 20  ( 1 )  " "                " "                " "              
## 21  ( 1 )  " "                " "                " "              
## 22  ( 1 )  " "                " "                " "              
## 23  ( 1 )  " "                " "                " "              
## 24  ( 1 )  " "                " "                " "              
## 25  ( 1 )  " "                " "                " "              
## 26  ( 1 )  " "                " "                " "              
## 27  ( 1 )  " "                " "                " "              
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##            MasVnrTypeNone MasVnrTypeStone MasVnrArea ExterQual ExterCond
## 1  ( 1 )   " "            " "             " "        " "       " "      
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##            FoundationCBlock FoundationPConc FoundationSlab FoundationStone
## 1  ( 1 )   " "              " "             " "            " "            
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##            FoundationWood BsmtQual BsmtCond BsmtExposureGd BsmtExposureMn
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##            BsmtExposureNo BsmtFinType1 BsmtFinSF1 BsmtFinType2 BsmtFinSF2
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##            BsmtUnfSF TotalBsmtSF HeatingGasA HeatingGasW HeatingGrav
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##            HeatingOthW HeatingWall HeatingQC CentralAir ElectricalFuseF
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##            ElectricalFuseP ElectricalMix ElectricalSBrkr X1stFlrSF
## 1  ( 1 )   " "             " "           " "             " "      
## 2  ( 1 )   " "             " "           " "             " "      
## 3  ( 1 )   " "             " "           " "             " "      
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## 151  ( 1 ) " "             " "           "*"             " "      
##            X2ndFlrSF LowQualFinSF GrLivArea BsmtFullBath BsmtHalfBath
## 1  ( 1 )   " "       " "          " "       " "          " "         
## 2  ( 1 )   " "       " "          "*"       " "          " "         
## 3  ( 1 )   " "       " "          "*"       " "          " "         
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## 133  ( 1 ) "*"       "*"          "*"       "*"          " "         
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##            FullBath HalfBath BedroomAbvGr KitchenAbvGr KitchenQual
## 1  ( 1 )   " "      " "      " "          " "          " "        
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## 40  ( 1 )  " "      " "      " "          " "          " "        
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## 103  ( 1 ) " "      " "      "*"          "*"          " "        
## 104  ( 1 ) " "      " "      "*"          "*"          " "        
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## 109  ( 1 ) " "      " "      "*"          "*"          " "        
## 110  ( 1 ) " "      " "      "*"          "*"          " "        
## 111  ( 1 ) " "      " "      "*"          "*"          " "        
## 112  ( 1 ) " "      " "      "*"          "*"          " "        
## 113  ( 1 ) " "      " "      "*"          "*"          " "        
## 114  ( 1 ) " "      " "      "*"          "*"          " "        
## 115  ( 1 ) " "      " "      "*"          "*"          " "        
## 116  ( 1 ) " "      " "      "*"          "*"          " "        
## 117  ( 1 ) " "      " "      "*"          "*"          " "        
## 118  ( 1 ) " "      " "      "*"          "*"          " "        
## 119  ( 1 ) " "      " "      "*"          "*"          " "        
## 120  ( 1 ) " "      " "      "*"          "*"          "*"        
## 121  ( 1 ) " "      " "      "*"          "*"          "*"        
## 122  ( 1 ) " "      " "      "*"          "*"          "*"        
## 123  ( 1 ) " "      " "      "*"          "*"          "*"        
## 124  ( 1 ) " "      " "      "*"          "*"          "*"        
## 125  ( 1 ) " "      " "      "*"          "*"          "*"        
## 126  ( 1 ) " "      " "      "*"          "*"          "*"        
## 127  ( 1 ) " "      " "      "*"          "*"          "*"        
## 128  ( 1 ) " "      " "      "*"          "*"          "*"        
## 129  ( 1 ) " "      " "      "*"          "*"          "*"        
## 130  ( 1 ) " "      " "      "*"          "*"          "*"        
## 131  ( 1 ) " "      " "      "*"          "*"          "*"        
## 132  ( 1 ) " "      " "      "*"          "*"          "*"        
## 133  ( 1 ) " "      " "      "*"          "*"          "*"        
## 134  ( 1 ) " "      " "      "*"          "*"          "*"        
## 135  ( 1 ) " "      " "      "*"          "*"          "*"        
## 136  ( 1 ) " "      " "      "*"          "*"          "*"        
## 137  ( 1 ) " "      " "      "*"          "*"          "*"        
## 138  ( 1 ) " "      " "      "*"          "*"          "*"        
## 139  ( 1 ) " "      " "      "*"          "*"          "*"        
## 140  ( 1 ) " "      " "      "*"          "*"          "*"        
## 141  ( 1 ) " "      " "      "*"          "*"          "*"        
## 142  ( 1 ) " "      " "      "*"          "*"          "*"        
## 143  ( 1 ) " "      " "      "*"          "*"          "*"        
## 144  ( 1 ) " "      " "      "*"          "*"          "*"        
## 145  ( 1 ) " "      " "      "*"          "*"          "*"        
## 146  ( 1 ) " "      " "      "*"          "*"          "*"        
## 147  ( 1 ) " "      " "      "*"          "*"          "*"        
## 148  ( 1 ) " "      " "      "*"          "*"          "*"        
## 149  ( 1 ) " "      " "      "*"          "*"          "*"        
## 150  ( 1 ) " "      " "      "*"          "*"          "*"        
## 151  ( 1 ) " "      " "      "*"          "*"          "*"        
##            TotRmsAbvGrd FunctionalMaj2 FunctionalMin1 FunctionalMin2
## 1  ( 1 )   " "          " "            " "            " "           
## 2  ( 1 )   " "          " "            " "            " "           
## 3  ( 1 )   " "          " "            " "            " "           
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## 5  ( 1 )   " "          " "            " "            " "           
## 6  ( 1 )   " "          " "            " "            " "           
## 7  ( 1 )   " "          " "            " "            " "           
## 8  ( 1 )   " "          " "            " "            " "           
## 9  ( 1 )   " "          " "            " "            " "           
## 10  ( 1 )  " "          " "            " "            " "           
## 11  ( 1 )  " "          " "            " "            " "           
## 12  ( 1 )  " "          " "            " "            " "           
## 13  ( 1 )  " "          " "            " "            " "           
## 14  ( 1 )  " "          " "            " "            " "           
## 15  ( 1 )  " "          " "            " "            " "           
## 16  ( 1 )  " "          " "            " "            " "           
## 17  ( 1 )  " "          " "            " "            " "           
## 18  ( 1 )  " "          " "            " "            " "           
## 19  ( 1 )  " "          " "            " "            " "           
## 20  ( 1 )  " "          " "            " "            " "           
## 21  ( 1 )  " "          " "            " "            " "           
## 22  ( 1 )  " "          " "            " "            " "           
## 23  ( 1 )  " "          " "            " "            " "           
## 24  ( 1 )  " "          " "            " "            " "           
## 25  ( 1 )  " "          " "            " "            " "           
## 26  ( 1 )  " "          " "            " "            " "           
## 27  ( 1 )  " "          " "            " "            " "           
## 28  ( 1 )  " "          " "            " "            " "           
## 29  ( 1 )  " "          " "            " "            " "           
## 30  ( 1 )  " "          " "            " "            " "           
## 31  ( 1 )  " "          " "            " "            " "           
## 32  ( 1 )  " "          " "            " "            " "           
## 33  ( 1 )  " "          " "            " "            " "           
## 34  ( 1 )  " "          " "            " "            " "           
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## 39  ( 1 )  " "          " "            " "            " "           
## 40  ( 1 )  " "          " "            " "            " "           
## 41  ( 1 )  " "          " "            " "            " "           
## 42  ( 1 )  " "          " "            " "            " "           
## 43  ( 1 )  " "          " "            " "            " "           
## 44  ( 1 )  " "          " "            " "            " "           
## 45  ( 1 )  " "          " "            " "            " "           
## 46  ( 1 )  " "          " "            " "            " "           
## 47  ( 1 )  " "          " "            " "            " "           
## 48  ( 1 )  "*"          " "            " "            " "           
## 49  ( 1 )  "*"          " "            " "            " "           
## 50  ( 1 )  "*"          " "            " "            " "           
## 51  ( 1 )  "*"          " "            " "            " "           
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## 55  ( 1 )  "*"          " "            " "            " "           
## 56  ( 1 )  "*"          " "            " "            " "           
## 57  ( 1 )  "*"          " "            " "            " "           
## 58  ( 1 )  "*"          " "            " "            " "           
## 59  ( 1 )  "*"          " "            " "            " "           
## 60  ( 1 )  "*"          " "            " "            " "           
## 61  ( 1 )  "*"          " "            " "            " "           
## 62  ( 1 )  "*"          " "            " "            " "           
## 63  ( 1 )  "*"          " "            " "            " "           
## 64  ( 1 )  "*"          " "            " "            " "           
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## 66  ( 1 )  "*"          " "            " "            " "           
## 67  ( 1 )  "*"          " "            " "            " "           
## 68  ( 1 )  "*"          " "            " "            " "           
## 69  ( 1 )  "*"          " "            " "            " "           
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## 86  ( 1 )  "*"          " "            " "            "*"           
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## 100  ( 1 ) "*"          " "            " "            "*"           
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## 105  ( 1 ) "*"          " "            " "            "*"           
## 106  ( 1 ) "*"          " "            " "            "*"           
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## 109  ( 1 ) "*"          " "            " "            "*"           
## 110  ( 1 ) "*"          " "            " "            "*"           
## 111  ( 1 ) "*"          " "            " "            "*"           
## 112  ( 1 ) "*"          " "            " "            "*"           
## 113  ( 1 ) "*"          " "            " "            "*"           
## 114  ( 1 ) "*"          " "            " "            "*"           
## 115  ( 1 ) "*"          " "            " "            "*"           
## 116  ( 1 ) "*"          " "            " "            "*"           
## 117  ( 1 ) "*"          " "            " "            "*"           
## 118  ( 1 ) "*"          " "            " "            "*"           
## 119  ( 1 ) "*"          " "            " "            "*"           
## 120  ( 1 ) "*"          " "            " "            "*"           
## 121  ( 1 ) "*"          " "            " "            "*"           
## 122  ( 1 ) "*"          " "            "*"            "*"           
## 123  ( 1 ) "*"          " "            "*"            "*"           
## 124  ( 1 ) "*"          " "            "*"            "*"           
## 125  ( 1 ) "*"          " "            "*"            "*"           
## 126  ( 1 ) "*"          " "            "*"            "*"           
## 127  ( 1 ) "*"          " "            "*"            "*"           
## 128  ( 1 ) "*"          " "            "*"            "*"           
## 129  ( 1 ) "*"          " "            "*"            "*"           
## 130  ( 1 ) "*"          " "            "*"            "*"           
## 131  ( 1 ) "*"          " "            "*"            "*"           
## 132  ( 1 ) "*"          " "            "*"            "*"           
## 133  ( 1 ) "*"          " "            "*"            "*"           
## 134  ( 1 ) "*"          " "            "*"            "*"           
## 135  ( 1 ) "*"          " "            "*"            "*"           
## 136  ( 1 ) "*"          " "            "*"            "*"           
## 137  ( 1 ) "*"          " "            "*"            "*"           
## 138  ( 1 ) "*"          " "            "*"            "*"           
## 139  ( 1 ) "*"          " "            "*"            "*"           
## 140  ( 1 ) "*"          " "            "*"            "*"           
## 141  ( 1 ) "*"          " "            "*"            "*"           
## 142  ( 1 ) "*"          " "            "*"            "*"           
## 143  ( 1 ) "*"          " "            "*"            "*"           
## 144  ( 1 ) "*"          " "            "*"            "*"           
## 145  ( 1 ) "*"          " "            "*"            "*"           
## 146  ( 1 ) "*"          " "            "*"            "*"           
## 147  ( 1 ) "*"          " "            "*"            "*"           
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## 150  ( 1 ) "*"          " "            "*"            "*"           
## 151  ( 1 ) "*"          " "            "*"            "*"           
##            FunctionalMod FunctionalSev FunctionalTyp Fireplaces
## 1  ( 1 )   " "           " "           " "           " "       
## 2  ( 1 )   " "           " "           " "           " "       
## 3  ( 1 )   " "           " "           " "           " "       
## 4  ( 1 )   " "           " "           " "           " "       
## 5  ( 1 )   " "           " "           " "           " "       
## 6  ( 1 )   " "           " "           " "           " "       
## 7  ( 1 )   " "           " "           " "           " "       
## 8  ( 1 )   " "           " "           " "           " "       
## 9  ( 1 )   " "           " "           " "           " "       
## 10  ( 1 )  " "           " "           " "           " "       
## 11  ( 1 )  " "           " "           " "           " "       
## 12  ( 1 )  " "           " "           " "           " "       
## 13  ( 1 )  " "           " "           " "           " "       
## 14  ( 1 )  " "           " "           " "           " "       
## 15  ( 1 )  " "           " "           " "           " "       
## 16  ( 1 )  " "           " "           " "           " "       
## 17  ( 1 )  " "           " "           " "           " "       
## 18  ( 1 )  " "           " "           " "           " "       
## 19  ( 1 )  " "           " "           " "           " "       
## 20  ( 1 )  " "           " "           " "           " "       
## 21  ( 1 )  " "           " "           " "           " "       
## 22  ( 1 )  " "           " "           " "           " "       
## 23  ( 1 )  " "           " "           " "           " "       
## 24  ( 1 )  " "           " "           " "           " "       
## 25  ( 1 )  " "           " "           " "           "*"       
## 26  ( 1 )  " "           " "           "*"           "*"       
## 27  ( 1 )  " "           " "           "*"           "*"       
## 28  ( 1 )  " "           " "           "*"           "*"       
## 29  ( 1 )  " "           " "           "*"           "*"       
## 30  ( 1 )  " "           " "           "*"           "*"       
## 31  ( 1 )  " "           " "           "*"           "*"       
## 32  ( 1 )  " "           " "           "*"           "*"       
## 33  ( 1 )  " "           " "           "*"           "*"       
## 34  ( 1 )  " "           " "           "*"           "*"       
## 35  ( 1 )  " "           " "           "*"           "*"       
## 36  ( 1 )  " "           " "           "*"           "*"       
## 37  ( 1 )  " "           " "           "*"           "*"       
## 38  ( 1 )  " "           " "           "*"           "*"       
## 39  ( 1 )  " "           " "           "*"           "*"       
## 40  ( 1 )  " "           " "           "*"           "*"       
## 41  ( 1 )  " "           " "           "*"           "*"       
## 42  ( 1 )  " "           " "           "*"           "*"       
## 43  ( 1 )  " "           " "           "*"           "*"       
## 44  ( 1 )  " "           " "           "*"           "*"       
## 45  ( 1 )  " "           " "           "*"           "*"       
## 46  ( 1 )  " "           " "           "*"           "*"       
## 47  ( 1 )  " "           " "           "*"           "*"       
## 48  ( 1 )  " "           " "           "*"           "*"       
## 49  ( 1 )  " "           " "           "*"           "*"       
## 50  ( 1 )  " "           " "           "*"           "*"       
## 51  ( 1 )  " "           " "           "*"           "*"       
## 52  ( 1 )  " "           " "           "*"           "*"       
## 53  ( 1 )  " "           " "           "*"           "*"       
## 54  ( 1 )  " "           " "           "*"           "*"       
## 55  ( 1 )  " "           "*"           "*"           "*"       
## 56  ( 1 )  " "           "*"           "*"           "*"       
## 57  ( 1 )  " "           "*"           "*"           "*"       
## 58  ( 1 )  " "           "*"           "*"           "*"       
## 59  ( 1 )  " "           "*"           "*"           "*"       
## 60  ( 1 )  " "           "*"           "*"           "*"       
## 61  ( 1 )  " "           "*"           "*"           "*"       
## 62  ( 1 )  " "           "*"           "*"           "*"       
## 63  ( 1 )  " "           "*"           "*"           "*"       
## 64  ( 1 )  " "           "*"           "*"           "*"       
## 65  ( 1 )  " "           "*"           "*"           "*"       
## 66  ( 1 )  " "           "*"           "*"           "*"       
## 67  ( 1 )  " "           "*"           "*"           "*"       
## 68  ( 1 )  " "           "*"           "*"           "*"       
## 69  ( 1 )  " "           "*"           "*"           "*"       
## 70  ( 1 )  " "           "*"           "*"           "*"       
## 71  ( 1 )  " "           "*"           "*"           "*"       
## 72  ( 1 )  " "           "*"           "*"           "*"       
## 73  ( 1 )  " "           "*"           "*"           "*"       
## 74  ( 1 )  " "           "*"           "*"           "*"       
## 75  ( 1 )  " "           "*"           "*"           "*"       
## 76  ( 1 )  " "           "*"           "*"           "*"       
## 77  ( 1 )  " "           "*"           "*"           "*"       
## 78  ( 1 )  " "           "*"           "*"           "*"       
## 79  ( 1 )  " "           "*"           "*"           "*"       
## 80  ( 1 )  " "           "*"           "*"           "*"       
## 81  ( 1 )  " "           "*"           "*"           "*"       
## 82  ( 1 )  " "           "*"           "*"           "*"       
## 83  ( 1 )  " "           "*"           "*"           "*"       
## 84  ( 1 )  " "           "*"           "*"           "*"       
## 85  ( 1 )  " "           "*"           "*"           "*"       
## 86  ( 1 )  " "           "*"           "*"           "*"       
## 87  ( 1 )  " "           "*"           "*"           "*"       
## 88  ( 1 )  " "           "*"           "*"           "*"       
## 89  ( 1 )  " "           "*"           "*"           "*"       
## 90  ( 1 )  " "           "*"           "*"           "*"       
## 91  ( 1 )  " "           "*"           "*"           "*"       
## 92  ( 1 )  " "           "*"           "*"           "*"       
## 93  ( 1 )  " "           "*"           "*"           "*"       
## 94  ( 1 )  " "           "*"           "*"           "*"       
## 95  ( 1 )  " "           "*"           "*"           "*"       
## 96  ( 1 )  " "           "*"           "*"           "*"       
## 97  ( 1 )  " "           "*"           "*"           "*"       
## 98  ( 1 )  " "           "*"           "*"           "*"       
## 99  ( 1 )  " "           "*"           "*"           "*"       
## 100  ( 1 ) " "           "*"           "*"           "*"       
## 101  ( 1 ) " "           "*"           "*"           "*"       
## 102  ( 1 ) " "           "*"           "*"           "*"       
## 103  ( 1 ) " "           "*"           "*"           "*"       
## 104  ( 1 ) " "           "*"           "*"           "*"       
## 105  ( 1 ) " "           "*"           "*"           "*"       
## 106  ( 1 ) " "           "*"           "*"           "*"       
## 107  ( 1 ) " "           "*"           "*"           "*"       
## 108  ( 1 ) " "           "*"           "*"           "*"       
## 109  ( 1 ) " "           "*"           "*"           "*"       
## 110  ( 1 ) " "           "*"           "*"           "*"       
## 111  ( 1 ) " "           "*"           "*"           "*"       
## 112  ( 1 ) " "           "*"           "*"           "*"       
## 113  ( 1 ) " "           "*"           "*"           "*"       
## 114  ( 1 ) " "           "*"           "*"           "*"       
## 115  ( 1 ) " "           "*"           "*"           "*"       
## 116  ( 1 ) " "           "*"           "*"           "*"       
## 117  ( 1 ) " "           "*"           "*"           "*"       
## 118  ( 1 ) " "           "*"           "*"           "*"       
## 119  ( 1 ) " "           "*"           "*"           "*"       
## 120  ( 1 ) " "           "*"           "*"           "*"       
## 121  ( 1 ) " "           "*"           "*"           "*"       
## 122  ( 1 ) " "           "*"           "*"           "*"       
## 123  ( 1 ) " "           "*"           "*"           "*"       
## 124  ( 1 ) " "           "*"           "*"           "*"       
## 125  ( 1 ) " "           "*"           "*"           "*"       
## 126  ( 1 ) " "           "*"           "*"           "*"       
## 127  ( 1 ) " "           "*"           "*"           "*"       
## 128  ( 1 ) " "           "*"           "*"           "*"       
## 129  ( 1 ) " "           "*"           "*"           "*"       
## 130  ( 1 ) " "           "*"           "*"           "*"       
## 131  ( 1 ) " "           "*"           "*"           "*"       
## 132  ( 1 ) " "           "*"           "*"           "*"       
## 133  ( 1 ) " "           "*"           "*"           "*"       
## 134  ( 1 ) " "           "*"           "*"           "*"       
## 135  ( 1 ) " "           "*"           "*"           "*"       
## 136  ( 1 ) " "           "*"           "*"           "*"       
## 137  ( 1 ) " "           "*"           "*"           "*"       
## 138  ( 1 ) " "           "*"           "*"           "*"       
## 139  ( 1 ) " "           "*"           "*"           "*"       
## 140  ( 1 ) " "           "*"           "*"           "*"       
## 141  ( 1 ) " "           "*"           "*"           "*"       
## 142  ( 1 ) " "           "*"           "*"           "*"       
## 143  ( 1 ) " "           "*"           "*"           "*"       
## 144  ( 1 ) " "           "*"           "*"           "*"       
## 145  ( 1 ) " "           "*"           "*"           "*"       
## 146  ( 1 ) " "           "*"           "*"           "*"       
## 147  ( 1 ) " "           "*"           "*"           "*"       
## 148  ( 1 ) " "           "*"           "*"           "*"       
## 149  ( 1 ) " "           "*"           "*"           "*"       
## 150  ( 1 ) " "           "*"           "*"           "*"       
## 151  ( 1 ) " "           "*"           "*"           "*"       
##            FireplaceQu GarageTypeAttchd GarageTypeBasment
## 1  ( 1 )   " "         " "              " "              
## 2  ( 1 )   " "         " "              " "              
## 3  ( 1 )   " "         " "              " "              
## 4  ( 1 )   " "         " "              " "              
## 5  ( 1 )   " "         " "              " "              
## 6  ( 1 )   " "         " "              " "              
## 7  ( 1 )   " "         " "              " "              
## 8  ( 1 )   " "         " "              " "              
## 9  ( 1 )   " "         " "              " "              
## 10  ( 1 )  " "         " "              " "              
## 11  ( 1 )  " "         " "              " "              
## 12  ( 1 )  " "         " "              " "              
## 13  ( 1 )  " "         " "              " "              
## 14  ( 1 )  " "         " "              " "              
## 15  ( 1 )  " "         " "              " "              
## 16  ( 1 )  " "         " "              " "              
## 17  ( 1 )  " "         " "              " "              
## 18  ( 1 )  " "         " "              " "              
## 19  ( 1 )  " "         " "              " "              
## 20  ( 1 )  " "         " "              " "              
## 21  ( 1 )  " "         " "              " "              
## 22  ( 1 )  " "         " "              " "              
## 23  ( 1 )  " "         " "              " "              
## 24  ( 1 )  " "         " "              " "              
## 25  ( 1 )  " "         " "              " "              
## 26  ( 1 )  " "         " "              " "              
## 27  ( 1 )  " "         " "              " "              
## 28  ( 1 )  " "         " "              " "              
## 29  ( 1 )  " "         " "              " "              
## 30  ( 1 )  " "         " "              " "              
## 31  ( 1 )  " "         " "              " "              
## 32  ( 1 )  " "         " "              " "              
## 33  ( 1 )  " "         " "              " "              
## 34  ( 1 )  " "         " "              " "              
## 35  ( 1 )  " "         " "              " "              
## 36  ( 1 )  " "         " "              " "              
## 37  ( 1 )  " "         " "              " "              
## 38  ( 1 )  " "         " "              " "              
## 39  ( 1 )  " "         " "              " "              
## 40  ( 1 )  " "         " "              " "              
## 41  ( 1 )  " "         " "              " "              
## 42  ( 1 )  " "         " "              " "              
## 43  ( 1 )  " "         " "              " "              
## 44  ( 1 )  " "         " "              " "              
## 45  ( 1 )  " "         " "              " "              
## 46  ( 1 )  " "         " "              " "              
## 47  ( 1 )  " "         " "              " "              
## 48  ( 1 )  " "         " "              " "              
## 49  ( 1 )  " "         " "              " "              
## 50  ( 1 )  " "         " "              " "              
## 51  ( 1 )  " "         " "              " "              
## 52  ( 1 )  " "         " "              " "              
## 53  ( 1 )  " "         " "              " "              
## 54  ( 1 )  " "         " "              " "              
## 55  ( 1 )  " "         " "              " "              
## 56  ( 1 )  " "         " "              " "              
## 57  ( 1 )  " "         " "              " "              
## 58  ( 1 )  " "         " "              " "              
## 59  ( 1 )  " "         " "              " "              
## 60  ( 1 )  " "         " "              " "              
## 61  ( 1 )  " "         " "              " "              
## 62  ( 1 )  " "         " "              " "              
## 63  ( 1 )  " "         " "              " "              
## 64  ( 1 )  " "         " "              " "              
## 65  ( 1 )  " "         " "              " "              
## 66  ( 1 )  " "         " "              " "              
## 67  ( 1 )  " "         " "              " "              
## 68  ( 1 )  " "         " "              " "              
## 69  ( 1 )  " "         " "              " "              
## 70  ( 1 )  " "         " "              " "              
## 71  ( 1 )  " "         " "              " "              
## 72  ( 1 )  " "         " "              " "              
## 73  ( 1 )  " "         " "              " "              
## 74  ( 1 )  " "         " "              " "              
## 75  ( 1 )  " "         " "              " "              
## 76  ( 1 )  " "         " "              " "              
## 77  ( 1 )  " "         " "              " "              
## 78  ( 1 )  " "         " "              " "              
## 79  ( 1 )  " "         " "              " "              
## 80  ( 1 )  " "         "*"              " "              
## 81  ( 1 )  " "         "*"              " "              
## 82  ( 1 )  " "         "*"              " "              
## 83  ( 1 )  " "         "*"              " "              
## 84  ( 1 )  " "         "*"              " "              
## 85  ( 1 )  " "         "*"              " "              
## 86  ( 1 )  " "         "*"              " "              
## 87  ( 1 )  " "         "*"              " "              
## 88  ( 1 )  " "         "*"              " "              
## 89  ( 1 )  " "         "*"              " "              
## 90  ( 1 )  " "         "*"              " "              
## 91  ( 1 )  " "         "*"              " "              
## 92  ( 1 )  " "         "*"              " "              
## 93  ( 1 )  " "         "*"              " "              
## 94  ( 1 )  " "         "*"              " "              
## 95  ( 1 )  " "         "*"              " "              
## 96  ( 1 )  " "         "*"              " "              
## 97  ( 1 )  " "         "*"              " "              
## 98  ( 1 )  " "         "*"              " "              
## 99  ( 1 )  "*"         "*"              " "              
## 100  ( 1 ) "*"         "*"              " "              
## 101  ( 1 ) "*"         "*"              " "              
## 102  ( 1 ) "*"         "*"              " "              
## 103  ( 1 ) "*"         "*"              " "              
## 104  ( 1 ) "*"         "*"              " "              
## 105  ( 1 ) "*"         "*"              " "              
## 106  ( 1 ) "*"         "*"              " "              
## 107  ( 1 ) "*"         "*"              " "              
## 108  ( 1 ) "*"         "*"              " "              
## 109  ( 1 ) "*"         "*"              " "              
## 110  ( 1 ) "*"         "*"              " "              
## 111  ( 1 ) "*"         "*"              " "              
## 112  ( 1 ) "*"         "*"              " "              
## 113  ( 1 ) "*"         "*"              " "              
## 114  ( 1 ) "*"         "*"              " "              
## 115  ( 1 ) "*"         "*"              " "              
## 116  ( 1 ) "*"         "*"              " "              
## 117  ( 1 ) "*"         "*"              " "              
## 118  ( 1 ) "*"         "*"              " "              
## 119  ( 1 ) "*"         "*"              " "              
## 120  ( 1 ) "*"         "*"              " "              
## 121  ( 1 ) "*"         "*"              " "              
## 122  ( 1 ) "*"         "*"              " "              
## 123  ( 1 ) "*"         "*"              " "              
## 124  ( 1 ) "*"         "*"              " "              
## 125  ( 1 ) "*"         "*"              " "              
## 126  ( 1 ) "*"         "*"              " "              
## 127  ( 1 ) "*"         "*"              " "              
## 128  ( 1 ) "*"         "*"              " "              
## 129  ( 1 ) "*"         "*"              " "              
## 130  ( 1 ) "*"         "*"              " "              
## 131  ( 1 ) "*"         "*"              " "              
## 132  ( 1 ) "*"         "*"              " "              
## 133  ( 1 ) "*"         "*"              " "              
## 134  ( 1 ) "*"         "*"              " "              
## 135  ( 1 ) "*"         "*"              " "              
## 136  ( 1 ) "*"         "*"              " "              
## 137  ( 1 ) "*"         "*"              " "              
## 138  ( 1 ) "*"         "*"              " "              
## 139  ( 1 ) "*"         "*"              " "              
## 140  ( 1 ) "*"         "*"              " "              
## 141  ( 1 ) "*"         "*"              " "              
## 142  ( 1 ) "*"         "*"              " "              
## 143  ( 1 ) "*"         "*"              " "              
## 144  ( 1 ) "*"         "*"              " "              
## 145  ( 1 ) "*"         "*"              " "              
## 146  ( 1 ) "*"         "*"              " "              
## 147  ( 1 ) "*"         "*"              " "              
## 148  ( 1 ) "*"         "*"              " "              
## 149  ( 1 ) "*"         "*"              " "              
## 150  ( 1 ) "*"         "*"              " "              
## 151  ( 1 ) "*"         "*"              "*"              
##            GarageTypeBuiltIn GarageTypeCarPort GarageTypeDetchd
## 1  ( 1 )   " "               " "               " "             
## 2  ( 1 )   " "               " "               " "             
## 3  ( 1 )   " "               " "               " "             
## 4  ( 1 )   " "               " "               " "             
## 5  ( 1 )   " "               " "               " "             
## 6  ( 1 )   " "               " "               " "             
## 7  ( 1 )   " "               " "               " "             
## 8  ( 1 )   " "               " "               " "             
## 9  ( 1 )   " "               " "               " "             
## 10  ( 1 )  " "               " "               " "             
## 11  ( 1 )  " "               " "               " "             
## 12  ( 1 )  " "               " "               " "             
## 13  ( 1 )  " "               " "               " "             
## 14  ( 1 )  " "               " "               " "             
## 15  ( 1 )  " "               " "               " "             
## 16  ( 1 )  " "               " "               " "             
## 17  ( 1 )  " "               " "               " "             
## 18  ( 1 )  " "               " "               " "             
## 19  ( 1 )  " "               " "               " "             
## 20  ( 1 )  " "               " "               " "             
## 21  ( 1 )  " "               " "               " "             
## 22  ( 1 )  " "               " "               " "             
## 23  ( 1 )  " "               " "               " "             
## 24  ( 1 )  " "               " "               " "             
## 25  ( 1 )  " "               " "               " "             
## 26  ( 1 )  " "               " "               " "             
## 27  ( 1 )  " "               " "               " "             
## 28  ( 1 )  " "               " "               " "             
## 29  ( 1 )  " "               " "               " "             
## 30  ( 1 )  " "               " "               " "             
## 31  ( 1 )  " "               " "               " "             
## 32  ( 1 )  " "               " "               " "             
## 33  ( 1 )  " "               " "               " "             
## 34  ( 1 )  " "               " "               " "             
## 35  ( 1 )  " "               " "               " "             
## 36  ( 1 )  " "               " "               " "             
## 37  ( 1 )  " "               " "               " "             
## 38  ( 1 )  " "               " "               " "             
## 39  ( 1 )  " "               " "               " "             
## 40  ( 1 )  " "               " "               " "             
## 41  ( 1 )  " "               " "               " "             
## 42  ( 1 )  " "               " "               " "             
## 43  ( 1 )  " "               " "               " "             
## 44  ( 1 )  " "               " "               " "             
## 45  ( 1 )  " "               " "               " "             
## 46  ( 1 )  " "               " "               " "             
## 47  ( 1 )  " "               " "               " "             
## 48  ( 1 )  " "               " "               " "             
## 49  ( 1 )  " "               " "               " "             
## 50  ( 1 )  " "               " "               " "             
## 51  ( 1 )  " "               " "               " "             
## 52  ( 1 )  " "               " "               " "             
## 53  ( 1 )  " "               " "               " "             
## 54  ( 1 )  " "               " "               " "             
## 55  ( 1 )  " "               " "               " "             
## 56  ( 1 )  " "               " "               " "             
## 57  ( 1 )  " "               " "               " "             
## 58  ( 1 )  " "               " "               " "             
## 59  ( 1 )  " "               " "               " "             
## 60  ( 1 )  " "               " "               " "             
## 61  ( 1 )  " "               " "               " "             
## 62  ( 1 )  " "               " "               " "             
## 63  ( 1 )  " "               " "               " "             
## 64  ( 1 )  " "               " "               " "             
## 65  ( 1 )  " "               " "               " "             
## 66  ( 1 )  " "               " "               " "             
## 67  ( 1 )  " "               " "               " "             
## 68  ( 1 )  " "               " "               " "             
## 69  ( 1 )  " "               " "               " "             
## 70  ( 1 )  " "               " "               " "             
## 71  ( 1 )  " "               " "               " "             
## 72  ( 1 )  " "               " "               " "             
## 73  ( 1 )  " "               " "               " "             
## 74  ( 1 )  " "               " "               " "             
## 75  ( 1 )  " "               " "               " "             
## 76  ( 1 )  " "               " "               " "             
## 77  ( 1 )  " "               " "               " "             
## 78  ( 1 )  " "               " "               " "             
## 79  ( 1 )  " "               " "               " "             
## 80  ( 1 )  " "               " "               " "             
## 81  ( 1 )  " "               " "               " "             
## 82  ( 1 )  " "               " "               " "             
## 83  ( 1 )  " "               " "               " "             
## 84  ( 1 )  " "               " "               " "             
## 85  ( 1 )  " "               " "               " "             
## 86  ( 1 )  " "               " "               " "             
## 87  ( 1 )  " "               " "               " "             
## 88  ( 1 )  " "               " "               " "             
## 89  ( 1 )  " "               " "               " "             
## 90  ( 1 )  " "               " "               " "             
## 91  ( 1 )  " "               " "               " "             
## 92  ( 1 )  " "               " "               " "             
## 93  ( 1 )  " "               " "               " "             
## 94  ( 1 )  " "               " "               " "             
## 95  ( 1 )  " "               " "               " "             
## 96  ( 1 )  " "               " "               " "             
## 97  ( 1 )  " "               " "               " "             
## 98  ( 1 )  " "               " "               " "             
## 99  ( 1 )  " "               " "               " "             
## 100  ( 1 ) " "               " "               " "             
## 101  ( 1 ) " "               " "               " "             
## 102  ( 1 ) " "               " "               " "             
## 103  ( 1 ) " "               " "               " "             
## 104  ( 1 ) " "               " "               " "             
## 105  ( 1 ) " "               " "               " "             
## 106  ( 1 ) " "               " "               " "             
## 107  ( 1 ) " "               " "               " "             
## 108  ( 1 ) " "               " "               " "             
## 109  ( 1 ) " "               " "               " "             
## 110  ( 1 ) " "               " "               " "             
## 111  ( 1 ) " "               " "               " "             
## 112  ( 1 ) " "               " "               " "             
## 113  ( 1 ) " "               " "               " "             
## 114  ( 1 ) " "               " "               " "             
## 115  ( 1 ) " "               " "               " "             
## 116  ( 1 ) " "               " "               " "             
## 117  ( 1 ) " "               " "               " "             
## 118  ( 1 ) " "               " "               " "             
## 119  ( 1 ) " "               " "               " "             
## 120  ( 1 ) " "               " "               " "             
## 121  ( 1 ) " "               " "               " "             
## 122  ( 1 ) " "               " "               " "             
## 123  ( 1 ) " "               " "               " "             
## 124  ( 1 ) " "               " "               " "             
## 125  ( 1 ) " "               " "               " "             
## 126  ( 1 ) " "               " "               " "             
## 127  ( 1 ) " "               " "               " "             
## 128  ( 1 ) " "               " "               " "             
## 129  ( 1 ) " "               " "               " "             
## 130  ( 1 ) " "               " "               " "             
## 131  ( 1 ) " "               " "               " "             
## 132  ( 1 ) " "               " "               " "             
## 133  ( 1 ) " "               " "               " "             
## 134  ( 1 ) " "               " "               "*"             
## 135  ( 1 ) " "               " "               "*"             
## 136  ( 1 ) " "               " "               "*"             
## 137  ( 1 ) " "               " "               "*"             
## 138  ( 1 ) " "               " "               "*"             
## 139  ( 1 ) " "               " "               "*"             
## 140  ( 1 ) " "               " "               "*"             
## 141  ( 1 ) " "               " "               "*"             
## 142  ( 1 ) " "               " "               "*"             
## 143  ( 1 ) " "               " "               "*"             
## 144  ( 1 ) " "               " "               "*"             
## 145  ( 1 ) " "               " "               "*"             
## 146  ( 1 ) " "               " "               "*"             
## 147  ( 1 ) " "               " "               "*"             
## 148  ( 1 ) " "               " "               "*"             
## 149  ( 1 ) " "               " "               "*"             
## 150  ( 1 ) " "               " "               "*"             
## 151  ( 1 ) " "               " "               "*"             
##            GarageYrBlt GarageFinish GarageCars GarageArea GarageQual
## 1  ( 1 )   " "         " "          " "        " "        " "       
## 2  ( 1 )   " "         " "          " "        " "        " "       
## 3  ( 1 )   " "         " "          " "        " "        " "       
## 4  ( 1 )   " "         " "          " "        " "        " "       
## 5  ( 1 )   " "         " "          "*"        " "        " "       
## 6  ( 1 )   " "         " "          "*"        " "        " "       
## 7  ( 1 )   " "         " "          "*"        " "        " "       
## 8  ( 1 )   " "         " "          "*"        " "        " "       
## 9  ( 1 )   " "         " "          "*"        " "        " "       
## 10  ( 1 )  " "         " "          "*"        " "        " "       
## 11  ( 1 )  " "         " "          "*"        " "        " "       
## 12  ( 1 )  " "         " "          "*"        " "        " "       
## 13  ( 1 )  " "         " "          "*"        " "        " "       
## 14  ( 1 )  " "         " "          "*"        " "        " "       
## 15  ( 1 )  " "         " "          "*"        " "        " "       
## 16  ( 1 )  " "         " "          "*"        " "        " "       
## 17  ( 1 )  " "         " "          "*"        " "        " "       
## 18  ( 1 )  " "         " "          "*"        " "        " "       
## 19  ( 1 )  " "         " "          "*"        " "        " "       
## 20  ( 1 )  " "         " "          "*"        " "        " "       
## 21  ( 1 )  " "         " "          "*"        " "        " "       
## 22  ( 1 )  " "         " "          "*"        " "        " "       
## 23  ( 1 )  " "         " "          "*"        " "        " "       
## 24  ( 1 )  " "         " "          "*"        " "        " "       
## 25  ( 1 )  " "         " "          "*"        " "        " "       
## 26  ( 1 )  " "         " "          "*"        " "        " "       
## 27  ( 1 )  " "         " "          "*"        " "        " "       
## 28  ( 1 )  " "         " "          "*"        " "        " "       
## 29  ( 1 )  " "         " "          "*"        " "        " "       
## 30  ( 1 )  " "         " "          "*"        " "        " "       
## 31  ( 1 )  " "         " "          "*"        " "        " "       
## 32  ( 1 )  " "         " "          "*"        " "        " "       
## 33  ( 1 )  " "         " "          "*"        " "        " "       
## 34  ( 1 )  " "         " "          "*"        " "        " "       
## 35  ( 1 )  " "         " "          "*"        " "        " "       
## 36  ( 1 )  " "         " "          "*"        " "        " "       
## 37  ( 1 )  " "         " "          "*"        " "        " "       
## 38  ( 1 )  " "         " "          "*"        " "        " "       
## 39  ( 1 )  " "         " "          "*"        " "        " "       
## 40  ( 1 )  " "         " "          "*"        " "        " "       
## 41  ( 1 )  " "         " "          "*"        " "        " "       
## 42  ( 1 )  " "         " "          "*"        " "        " "       
## 43  ( 1 )  " "         " "          "*"        " "        " "       
## 44  ( 1 )  " "         " "          "*"        " "        " "       
## 45  ( 1 )  " "         " "          "*"        " "        " "       
## 46  ( 1 )  " "         " "          "*"        " "        " "       
## 47  ( 1 )  " "         " "          "*"        " "        " "       
## 48  ( 1 )  " "         " "          "*"        " "        " "       
## 49  ( 1 )  " "         " "          "*"        " "        " "       
## 50  ( 1 )  " "         " "          "*"        " "        " "       
## 51  ( 1 )  " "         " "          "*"        " "        " "       
## 52  ( 1 )  " "         " "          "*"        " "        " "       
## 53  ( 1 )  " "         " "          "*"        "*"        " "       
## 54  ( 1 )  " "         " "          "*"        "*"        " "       
## 55  ( 1 )  " "         " "          "*"        "*"        " "       
## 56  ( 1 )  " "         " "          "*"        "*"        " "       
## 57  ( 1 )  " "         " "          "*"        "*"        " "       
## 58  ( 1 )  " "         " "          "*"        "*"        " "       
## 59  ( 1 )  " "         " "          "*"        "*"        " "       
## 60  ( 1 )  " "         " "          "*"        "*"        " "       
## 61  ( 1 )  "*"         " "          "*"        "*"        " "       
## 62  ( 1 )  "*"         " "          "*"        "*"        " "       
## 63  ( 1 )  "*"         " "          "*"        "*"        " "       
## 64  ( 1 )  "*"         " "          "*"        "*"        " "       
## 65  ( 1 )  "*"         " "          "*"        "*"        " "       
## 66  ( 1 )  "*"         " "          "*"        "*"        " "       
## 67  ( 1 )  "*"         " "          "*"        "*"        " "       
## 68  ( 1 )  "*"         " "          "*"        "*"        " "       
## 69  ( 1 )  "*"         " "          "*"        "*"        " "       
## 70  ( 1 )  "*"         " "          "*"        "*"        " "       
## 71  ( 1 )  "*"         " "          "*"        "*"        " "       
## 72  ( 1 )  "*"         " "          "*"        "*"        " "       
## 73  ( 1 )  "*"         " "          "*"        "*"        " "       
## 74  ( 1 )  "*"         " "          "*"        "*"        " "       
## 75  ( 1 )  "*"         " "          "*"        "*"        " "       
## 76  ( 1 )  "*"         " "          "*"        "*"        " "       
## 77  ( 1 )  "*"         " "          "*"        "*"        " "       
## 78  ( 1 )  "*"         " "          "*"        "*"        " "       
## 79  ( 1 )  "*"         " "          "*"        "*"        " "       
## 80  ( 1 )  "*"         " "          "*"        "*"        " "       
## 81  ( 1 )  "*"         " "          "*"        "*"        " "       
## 82  ( 1 )  "*"         " "          "*"        "*"        " "       
## 83  ( 1 )  "*"         " "          "*"        "*"        " "       
## 84  ( 1 )  "*"         " "          "*"        "*"        " "       
## 85  ( 1 )  "*"         " "          "*"        "*"        " "       
## 86  ( 1 )  "*"         " "          "*"        "*"        " "       
## 87  ( 1 )  "*"         " "          "*"        "*"        " "       
## 88  ( 1 )  "*"         " "          "*"        "*"        " "       
## 89  ( 1 )  "*"         " "          "*"        "*"        " "       
## 90  ( 1 )  "*"         " "          "*"        "*"        " "       
## 91  ( 1 )  "*"         " "          "*"        "*"        " "       
## 92  ( 1 )  "*"         " "          "*"        "*"        " "       
## 93  ( 1 )  "*"         " "          "*"        "*"        " "       
## 94  ( 1 )  "*"         " "          "*"        "*"        " "       
## 95  ( 1 )  "*"         " "          "*"        "*"        " "       
## 96  ( 1 )  "*"         " "          "*"        "*"        " "       
## 97  ( 1 )  "*"         " "          "*"        "*"        " "       
## 98  ( 1 )  "*"         " "          "*"        "*"        " "       
## 99  ( 1 )  "*"         " "          "*"        "*"        " "       
## 100  ( 1 ) "*"         " "          "*"        "*"        " "       
## 101  ( 1 ) "*"         " "          "*"        "*"        " "       
## 102  ( 1 ) "*"         " "          "*"        "*"        " "       
## 103  ( 1 ) "*"         " "          "*"        "*"        " "       
## 104  ( 1 ) "*"         " "          "*"        "*"        " "       
## 105  ( 1 ) "*"         " "          "*"        "*"        " "       
## 106  ( 1 ) "*"         " "          "*"        "*"        " "       
## 107  ( 1 ) "*"         " "          "*"        "*"        " "       
## 108  ( 1 ) "*"         " "          "*"        "*"        " "       
## 109  ( 1 ) "*"         " "          "*"        "*"        " "       
## 110  ( 1 ) "*"         " "          "*"        "*"        " "       
## 111  ( 1 ) "*"         " "          "*"        "*"        " "       
## 112  ( 1 ) "*"         " "          "*"        "*"        " "       
## 113  ( 1 ) "*"         " "          "*"        "*"        " "       
## 114  ( 1 ) "*"         " "          "*"        "*"        " "       
## 115  ( 1 ) "*"         " "          "*"        "*"        " "       
## 116  ( 1 ) "*"         " "          "*"        "*"        " "       
## 117  ( 1 ) "*"         " "          "*"        "*"        " "       
## 118  ( 1 ) "*"         " "          "*"        "*"        " "       
## 119  ( 1 ) "*"         " "          "*"        "*"        " "       
## 120  ( 1 ) "*"         " "          "*"        "*"        " "       
## 121  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 122  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 123  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 124  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 125  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 126  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 127  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 128  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 129  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 130  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 131  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 132  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 133  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 134  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 135  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 136  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 137  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 138  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 139  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 140  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 141  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 142  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 143  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 144  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 145  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 146  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 147  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 148  ( 1 ) "*"         "*"          "*"        "*"        " "       
## 149  ( 1 ) "*"         "*"          "*"        "*"        " "       
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##            GarageCond PavedDriveP PavedDriveY WoodDeckSF OpenPorchSF
## 1  ( 1 )   " "        " "         " "         " "        " "        
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## 133  ( 1 ) "*"        " "         " "         "*"        "*"        
## 134  ( 1 ) "*"        " "         " "         "*"        "*"        
## 135  ( 1 ) "*"        " "         " "         "*"        "*"        
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## 137  ( 1 ) "*"        " "         " "         "*"        "*"        
## 138  ( 1 ) "*"        " "         " "         "*"        "*"        
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##            EnclosedPorch X3SsnPorch ScreenPorch PoolArea PoolQC Fence
## 1  ( 1 )   " "           " "        " "         " "      " "    " "  
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## 100  ( 1 ) " "           " "        "*"         "*"      "*"    " "  
## 101  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 102  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
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## 105  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 106  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 107  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 108  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 109  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 110  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
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## 120  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
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## 129  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
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## 134  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 135  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 136  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 137  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
## 138  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
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## 143  ( 1 ) " "           "*"        "*"         "*"      "*"    " "  
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## 150  ( 1 ) " "           "*"        "*"         "*"      "*"    "*"  
## 151  ( 1 ) " "           "*"        "*"         "*"      "*"    "*"  
##            MiscFeatureOthr MiscFeatureShed MiscFeatureTenC MiscVal MoSold
## 1  ( 1 )   " "             " "             " "             " "     " "   
## 2  ( 1 )   " "             " "             " "             " "     " "   
## 3  ( 1 )   " "             " "             " "             " "     " "   
## 4  ( 1 )   " "             " "             " "             " "     " "   
## 5  ( 1 )   " "             " "             " "             " "     " "   
## 6  ( 1 )   " "             " "             " "             " "     " "   
## 7  ( 1 )   " "             " "             " "             " "     " "   
## 8  ( 1 )   " "             " "             " "             " "     " "   
## 9  ( 1 )   " "             " "             " "             " "     " "   
## 10  ( 1 )  " "             " "             " "             " "     " "   
## 11  ( 1 )  " "             " "             " "             " "     " "   
## 12  ( 1 )  " "             " "             " "             " "     " "   
## 13  ( 1 )  " "             " "             " "             " "     " "   
## 14  ( 1 )  " "             " "             " "             " "     " "   
## 15  ( 1 )  " "             " "             " "             " "     " "   
## 16  ( 1 )  " "             " "             " "             " "     " "   
## 17  ( 1 )  " "             " "             " "             " "     " "   
## 18  ( 1 )  " "             " "             " "             " "     " "   
## 19  ( 1 )  " "             " "             " "             " "     " "   
## 20  ( 1 )  " "             " "             " "             " "     " "   
## 21  ( 1 )  " "             " "             " "             " "     " "   
## 22  ( 1 )  " "             " "             " "             " "     " "   
## 23  ( 1 )  " "             " "             " "             " "     " "   
## 24  ( 1 )  " "             " "             " "             " "     " "   
## 25  ( 1 )  " "             " "             " "             " "     " "   
## 26  ( 1 )  " "             " "             " "             " "     " "   
## 27  ( 1 )  " "             " "             " "             " "     " "   
## 28  ( 1 )  " "             " "             " "             " "     " "   
## 29  ( 1 )  " "             " "             " "             " "     " "   
## 30  ( 1 )  " "             " "             " "             " "     " "   
## 31  ( 1 )  " "             " "             " "             " "     " "   
## 32  ( 1 )  " "             " "             " "             " "     " "   
## 33  ( 1 )  " "             " "             " "             " "     " "   
## 34  ( 1 )  " "             " "             " "             " "     " "   
## 35  ( 1 )  " "             " "             " "             " "     " "   
## 36  ( 1 )  " "             " "             " "             " "     " "   
## 37  ( 1 )  " "             " "             " "             " "     " "   
## 38  ( 1 )  " "             " "             " "             " "     " "   
## 39  ( 1 )  " "             " "             " "             " "     " "   
## 40  ( 1 )  " "             " "             " "             " "     " "   
## 41  ( 1 )  " "             " "             " "             " "     " "   
## 42  ( 1 )  " "             " "             " "             " "     " "   
## 43  ( 1 )  " "             " "             " "             " "     " "   
## 44  ( 1 )  " "             " "             " "             " "     " "   
## 45  ( 1 )  " "             " "             " "             " "     " "   
## 46  ( 1 )  " "             " "             "*"             " "     " "   
## 47  ( 1 )  " "             " "             "*"             " "     " "   
## 48  ( 1 )  " "             " "             "*"             " "     " "   
## 49  ( 1 )  " "             " "             "*"             " "     " "   
## 50  ( 1 )  " "             " "             "*"             " "     " "   
## 51  ( 1 )  " "             " "             "*"             " "     " "   
## 52  ( 1 )  " "             " "             "*"             " "     " "   
## 53  ( 1 )  " "             " "             "*"             " "     " "   
## 54  ( 1 )  " "             " "             "*"             " "     " "   
## 55  ( 1 )  " "             " "             "*"             " "     " "   
## 56  ( 1 )  " "             " "             "*"             " "     " "   
## 57  ( 1 )  " "             " "             "*"             " "     " "   
## 58  ( 1 )  " "             " "             "*"             " "     " "   
## 59  ( 1 )  " "             " "             "*"             " "     " "   
## 60  ( 1 )  " "             " "             "*"             " "     " "   
## 61  ( 1 )  " "             " "             "*"             " "     " "   
## 62  ( 1 )  " "             " "             "*"             " "     " "   
## 63  ( 1 )  " "             " "             "*"             " "     " "   
## 64  ( 1 )  " "             " "             "*"             " "     " "   
## 65  ( 1 )  " "             " "             "*"             " "     " "   
## 66  ( 1 )  " "             " "             "*"             " "     " "   
## 67  ( 1 )  " "             " "             "*"             " "     " "   
## 68  ( 1 )  " "             " "             "*"             " "     " "   
## 69  ( 1 )  " "             " "             "*"             " "     " "   
## 70  ( 1 )  " "             " "             "*"             " "     " "   
## 71  ( 1 )  " "             " "             "*"             " "     " "   
## 72  ( 1 )  " "             " "             "*"             " "     "*"   
## 73  ( 1 )  " "             " "             "*"             " "     "*"   
## 74  ( 1 )  " "             " "             "*"             " "     "*"   
## 75  ( 1 )  " "             " "             "*"             " "     "*"   
## 76  ( 1 )  " "             " "             "*"             " "     "*"   
## 77  ( 1 )  " "             " "             "*"             " "     "*"   
## 78  ( 1 )  " "             " "             "*"             " "     "*"   
## 79  ( 1 )  " "             " "             "*"             " "     "*"   
## 80  ( 1 )  " "             " "             "*"             " "     "*"   
## 81  ( 1 )  " "             " "             "*"             " "     "*"   
## 82  ( 1 )  " "             " "             "*"             " "     "*"   
## 83  ( 1 )  " "             " "             "*"             " "     "*"   
## 84  ( 1 )  " "             " "             "*"             " "     "*"   
## 85  ( 1 )  " "             " "             "*"             " "     "*"   
## 86  ( 1 )  " "             " "             "*"             " "     "*"   
## 87  ( 1 )  " "             " "             "*"             " "     "*"   
## 88  ( 1 )  " "             " "             "*"             " "     "*"   
## 89  ( 1 )  " "             " "             "*"             " "     "*"   
## 90  ( 1 )  " "             " "             "*"             " "     "*"   
## 91  ( 1 )  " "             " "             "*"             " "     "*"   
## 92  ( 1 )  " "             " "             "*"             " "     "*"   
## 93  ( 1 )  " "             " "             "*"             " "     "*"   
## 94  ( 1 )  " "             " "             "*"             " "     "*"   
## 95  ( 1 )  " "             " "             "*"             " "     "*"   
## 96  ( 1 )  " "             " "             "*"             " "     "*"   
## 97  ( 1 )  " "             " "             "*"             " "     "*"   
## 98  ( 1 )  " "             " "             "*"             " "     "*"   
## 99  ( 1 )  " "             " "             "*"             " "     "*"   
## 100  ( 1 ) " "             " "             "*"             " "     "*"   
## 101  ( 1 ) " "             " "             "*"             " "     "*"   
## 102  ( 1 ) " "             " "             "*"             " "     "*"   
## 103  ( 1 ) " "             " "             "*"             " "     "*"   
## 104  ( 1 ) " "             " "             "*"             " "     "*"   
## 105  ( 1 ) " "             " "             "*"             " "     "*"   
## 106  ( 1 ) " "             " "             "*"             " "     "*"   
## 107  ( 1 ) " "             " "             "*"             " "     "*"   
## 108  ( 1 ) " "             " "             "*"             " "     "*"   
## 109  ( 1 ) " "             " "             "*"             " "     "*"   
## 110  ( 1 ) " "             " "             "*"             " "     "*"   
## 111  ( 1 ) " "             " "             "*"             " "     "*"   
## 112  ( 1 ) " "             " "             "*"             " "     "*"   
## 113  ( 1 ) " "             " "             "*"             " "     "*"   
## 114  ( 1 ) " "             " "             "*"             " "     "*"   
## 115  ( 1 ) " "             " "             "*"             " "     "*"   
## 116  ( 1 ) " "             " "             "*"             " "     "*"   
## 117  ( 1 ) " "             " "             "*"             " "     "*"   
## 118  ( 1 ) " "             " "             "*"             " "     "*"   
## 119  ( 1 ) " "             " "             "*"             " "     "*"   
## 120  ( 1 ) " "             " "             "*"             " "     "*"   
## 121  ( 1 ) " "             " "             "*"             " "     "*"   
## 122  ( 1 ) " "             " "             "*"             " "     "*"   
## 123  ( 1 ) " "             " "             "*"             " "     "*"   
## 124  ( 1 ) " "             " "             "*"             " "     "*"   
## 125  ( 1 ) " "             " "             "*"             " "     "*"   
## 126  ( 1 ) " "             " "             "*"             " "     "*"   
## 127  ( 1 ) " "             " "             "*"             " "     "*"   
## 128  ( 1 ) " "             " "             "*"             " "     "*"   
## 129  ( 1 ) " "             " "             "*"             " "     "*"   
## 130  ( 1 ) " "             " "             "*"             " "     "*"   
## 131  ( 1 ) " "             " "             "*"             " "     "*"   
## 132  ( 1 ) " "             " "             "*"             " "     "*"   
## 133  ( 1 ) " "             " "             "*"             " "     "*"   
## 134  ( 1 ) " "             " "             "*"             " "     "*"   
## 135  ( 1 ) " "             " "             "*"             " "     "*"   
## 136  ( 1 ) " "             " "             "*"             " "     "*"   
## 137  ( 1 ) " "             " "             "*"             " "     "*"   
## 138  ( 1 ) " "             " "             "*"             " "     "*"   
## 139  ( 1 ) " "             " "             "*"             " "     "*"   
## 140  ( 1 ) " "             " "             "*"             " "     "*"   
## 141  ( 1 ) " "             " "             "*"             " "     "*"   
## 142  ( 1 ) " "             " "             "*"             " "     "*"   
## 143  ( 1 ) " "             " "             "*"             " "     "*"   
## 144  ( 1 ) " "             " "             "*"             " "     "*"   
## 145  ( 1 ) " "             " "             "*"             " "     "*"   
## 146  ( 1 ) " "             " "             "*"             " "     "*"   
## 147  ( 1 ) " "             " "             "*"             " "     "*"   
## 148  ( 1 ) " "             " "             "*"             " "     "*"   
## 149  ( 1 ) " "             " "             "*"             " "     "*"   
## 150  ( 1 ) " "             " "             "*"             " "     "*"   
## 151  ( 1 ) " "             " "             "*"             " "     "*"   
##            YrSold SaleTypeCon SaleTypeConLD SaleTypeConLI SaleTypeConLw
## 1  ( 1 )   " "    " "         " "           " "           " "          
## 2  ( 1 )   " "    " "         " "           " "           " "          
## 3  ( 1 )   " "    " "         " "           " "           " "          
## 4  ( 1 )   " "    " "         " "           " "           " "          
## 5  ( 1 )   " "    " "         " "           " "           " "          
## 6  ( 1 )   " "    " "         " "           " "           " "          
## 7  ( 1 )   " "    " "         " "           " "           " "          
## 8  ( 1 )   " "    " "         " "           " "           " "          
## 9  ( 1 )   " "    " "         " "           " "           " "          
## 10  ( 1 )  " "    " "         " "           " "           " "          
## 11  ( 1 )  " "    " "         " "           " "           " "          
## 12  ( 1 )  " "    " "         " "           " "           " "          
## 13  ( 1 )  " "    " "         " "           " "           " "          
## 14  ( 1 )  " "    " "         " "           " "           " "          
## 15  ( 1 )  " "    " "         " "           " "           " "          
## 16  ( 1 )  " "    " "         " "           " "           " "          
## 17  ( 1 )  " "    " "         " "           " "           " "          
## 18  ( 1 )  " "    " "         " "           " "           " "          
## 19  ( 1 )  " "    " "         " "           " "           " "          
## 20  ( 1 )  " "    " "         " "           " "           " "          
## 21  ( 1 )  " "    " "         " "           " "           " "          
## 22  ( 1 )  " "    " "         " "           " "           " "          
## 23  ( 1 )  " "    " "         " "           " "           " "          
## 24  ( 1 )  " "    " "         " "           " "           " "          
## 25  ( 1 )  " "    " "         " "           " "           " "          
## 26  ( 1 )  " "    " "         " "           " "           " "          
## 27  ( 1 )  " "    " "         " "           " "           " "          
## 28  ( 1 )  " "    " "         " "           " "           " "          
## 29  ( 1 )  " "    " "         " "           " "           " "          
## 30  ( 1 )  " "    " "         " "           " "           " "          
## 31  ( 1 )  " "    " "         " "           " "           " "          
## 32  ( 1 )  " "    " "         " "           " "           " "          
## 33  ( 1 )  " "    " "         " "           " "           " "          
## 34  ( 1 )  " "    " "         " "           " "           " "          
## 35  ( 1 )  " "    " "         " "           " "           " "          
## 36  ( 1 )  " "    " "         " "           " "           " "          
## 37  ( 1 )  " "    " "         " "           " "           " "          
## 38  ( 1 )  " "    " "         " "           " "           " "          
## 39  ( 1 )  " "    " "         " "           " "           " "          
## 40  ( 1 )  " "    " "         " "           " "           " "          
## 41  ( 1 )  " "    " "         " "           " "           " "          
## 42  ( 1 )  " "    " "         " "           " "           " "          
## 43  ( 1 )  " "    " "         " "           " "           " "          
## 44  ( 1 )  " "    " "         " "           " "           " "          
## 45  ( 1 )  " "    " "         " "           " "           " "          
## 46  ( 1 )  " "    " "         " "           " "           " "          
## 47  ( 1 )  " "    " "         " "           " "           " "          
## 48  ( 1 )  " "    " "         " "           " "           " "          
## 49  ( 1 )  " "    " "         " "           " "           " "          
## 50  ( 1 )  " "    " "         " "           " "           " "          
## 51  ( 1 )  " "    " "         " "           " "           " "          
## 52  ( 1 )  " "    " "         " "           " "           " "          
## 53  ( 1 )  " "    " "         " "           " "           " "          
## 54  ( 1 )  " "    " "         " "           " "           " "          
## 55  ( 1 )  " "    " "         " "           " "           " "          
## 56  ( 1 )  " "    " "         " "           " "           " "          
## 57  ( 1 )  " "    " "         " "           " "           " "          
## 58  ( 1 )  " "    " "         " "           " "           " "          
## 59  ( 1 )  " "    " "         " "           " "           " "          
## 60  ( 1 )  " "    " "         " "           " "           " "          
## 61  ( 1 )  " "    " "         " "           " "           " "          
## 62  ( 1 )  " "    " "         " "           " "           " "          
## 63  ( 1 )  " "    " "         " "           " "           " "          
## 64  ( 1 )  " "    "*"         " "           " "           " "          
## 65  ( 1 )  " "    "*"         " "           " "           " "          
## 66  ( 1 )  " "    "*"         " "           " "           " "          
## 67  ( 1 )  " "    "*"         " "           " "           " "          
## 68  ( 1 )  " "    "*"         " "           " "           " "          
## 69  ( 1 )  " "    "*"         " "           " "           " "          
## 70  ( 1 )  " "    "*"         " "           " "           " "          
## 71  ( 1 )  " "    "*"         " "           " "           " "          
## 72  ( 1 )  " "    "*"         " "           " "           " "          
## 73  ( 1 )  " "    "*"         " "           " "           " "          
## 74  ( 1 )  " "    "*"         " "           " "           " "          
## 75  ( 1 )  " "    "*"         " "           " "           " "          
## 76  ( 1 )  " "    "*"         " "           " "           " "          
## 77  ( 1 )  " "    "*"         " "           " "           " "          
## 78  ( 1 )  " "    "*"         " "           " "           " "          
## 79  ( 1 )  " "    "*"         " "           " "           " "          
## 80  ( 1 )  " "    "*"         " "           " "           " "          
## 81  ( 1 )  " "    "*"         " "           " "           " "          
## 82  ( 1 )  " "    "*"         " "           " "           " "          
## 83  ( 1 )  " "    "*"         " "           " "           " "          
## 84  ( 1 )  " "    "*"         " "           " "           " "          
## 85  ( 1 )  " "    "*"         " "           " "           " "          
## 86  ( 1 )  " "    "*"         " "           " "           " "          
## 87  ( 1 )  " "    "*"         " "           " "           " "          
## 88  ( 1 )  " "    "*"         " "           " "           " "          
## 89  ( 1 )  " "    "*"         " "           " "           " "          
## 90  ( 1 )  " "    "*"         " "           " "           " "          
## 91  ( 1 )  " "    "*"         " "           " "           " "          
## 92  ( 1 )  " "    "*"         " "           " "           " "          
## 93  ( 1 )  " "    "*"         " "           " "           " "          
## 94  ( 1 )  " "    "*"         " "           " "           " "          
## 95  ( 1 )  " "    "*"         " "           " "           " "          
## 96  ( 1 )  " "    "*"         " "           " "           " "          
## 97  ( 1 )  " "    "*"         " "           " "           " "          
## 98  ( 1 )  " "    "*"         " "           " "           " "          
## 99  ( 1 )  " "    "*"         " "           " "           " "          
## 100  ( 1 ) " "    "*"         " "           " "           " "          
## 101  ( 1 ) " "    "*"         " "           " "           " "          
## 102  ( 1 ) " "    "*"         "*"           " "           " "          
## 103  ( 1 ) " "    "*"         "*"           " "           " "          
## 104  ( 1 ) " "    "*"         "*"           " "           " "          
## 105  ( 1 ) " "    "*"         "*"           " "           " "          
## 106  ( 1 ) " "    "*"         "*"           " "           " "          
## 107  ( 1 ) " "    "*"         "*"           " "           " "          
## 108  ( 1 ) " "    "*"         "*"           " "           " "          
## 109  ( 1 ) " "    "*"         "*"           " "           " "          
## 110  ( 1 ) " "    "*"         "*"           " "           " "          
## 111  ( 1 ) " "    "*"         "*"           " "           " "          
## 112  ( 1 ) " "    "*"         "*"           " "           " "          
## 113  ( 1 ) " "    "*"         "*"           " "           " "          
## 114  ( 1 ) " "    "*"         "*"           " "           " "          
## 115  ( 1 ) " "    "*"         "*"           " "           " "          
## 116  ( 1 ) " "    "*"         "*"           " "           " "          
## 117  ( 1 ) " "    "*"         "*"           " "           " "          
## 118  ( 1 ) " "    "*"         "*"           " "           " "          
## 119  ( 1 ) " "    "*"         "*"           " "           " "          
## 120  ( 1 ) " "    "*"         "*"           " "           " "          
## 121  ( 1 ) " "    "*"         "*"           " "           " "          
## 122  ( 1 ) " "    "*"         "*"           " "           " "          
## 123  ( 1 ) " "    "*"         "*"           " "           " "          
## 124  ( 1 ) " "    "*"         "*"           " "           " "          
## 125  ( 1 ) " "    "*"         "*"           " "           " "          
## 126  ( 1 ) " "    "*"         "*"           " "           " "          
## 127  ( 1 ) " "    "*"         "*"           " "           " "          
## 128  ( 1 ) " "    "*"         "*"           " "           " "          
## 129  ( 1 ) " "    "*"         "*"           " "           " "          
## 130  ( 1 ) " "    "*"         "*"           " "           " "          
## 131  ( 1 ) " "    "*"         "*"           " "           " "          
## 132  ( 1 ) " "    "*"         "*"           " "           " "          
## 133  ( 1 ) " "    "*"         "*"           " "           " "          
## 134  ( 1 ) " "    "*"         "*"           " "           " "          
## 135  ( 1 ) " "    "*"         "*"           " "           " "          
## 136  ( 1 ) " "    "*"         "*"           " "           " "          
## 137  ( 1 ) " "    "*"         "*"           " "           " "          
## 138  ( 1 ) " "    "*"         "*"           " "           " "          
## 139  ( 1 ) " "    "*"         "*"           " "           " "          
## 140  ( 1 ) " "    "*"         "*"           " "           " "          
## 141  ( 1 ) " "    "*"         "*"           " "           " "          
## 142  ( 1 ) " "    "*"         "*"           " "           " "          
## 143  ( 1 ) " "    "*"         "*"           " "           " "          
## 144  ( 1 ) " "    "*"         "*"           " "           " "          
## 145  ( 1 ) " "    "*"         "*"           " "           " "          
## 146  ( 1 ) " "    "*"         "*"           " "           " "          
## 147  ( 1 ) " "    "*"         "*"           " "           " "          
## 148  ( 1 ) " "    "*"         "*"           " "           " "          
## 149  ( 1 ) " "    "*"         "*"           " "           " "          
## 150  ( 1 ) " "    "*"         "*"           " "           " "          
## 151  ( 1 ) " "    "*"         "*"           " "           " "          
##            SaleTypeCWD SaleTypeNew SaleTypeOth SaleTypeWD
## 1  ( 1 )   " "         " "         " "         " "       
## 2  ( 1 )   " "         " "         " "         " "       
## 3  ( 1 )   " "         " "         " "         " "       
## 4  ( 1 )   " "         " "         " "         " "       
## 5  ( 1 )   " "         " "         " "         " "       
## 6  ( 1 )   " "         " "         " "         " "       
## 7  ( 1 )   " "         " "         " "         " "       
## 8  ( 1 )   " "         " "         " "         " "       
## 9  ( 1 )   " "         " "         " "         " "       
## 10  ( 1 )  " "         " "         " "         " "       
## 11  ( 1 )  " "         " "         " "         " "       
## 12  ( 1 )  " "         " "         " "         " "       
## 13  ( 1 )  " "         " "         " "         " "       
## 14  ( 1 )  " "         " "         " "         " "       
## 15  ( 1 )  " "         " "         " "         " "       
## 16  ( 1 )  " "         " "         " "         " "       
## 17  ( 1 )  " "         "*"         " "         " "       
## 18  ( 1 )  " "         "*"         " "         " "       
## 19  ( 1 )  " "         "*"         " "         " "       
## 20  ( 1 )  " "         "*"         " "         " "       
## 21  ( 1 )  " "         "*"         " "         " "       
## 22  ( 1 )  " "         "*"         " "         " "       
## 23  ( 1 )  " "         "*"         " "         " "       
## 24  ( 1 )  " "         "*"         " "         " "       
## 25  ( 1 )  " "         "*"         " "         " "       
## 26  ( 1 )  " "         "*"         " "         " "       
## 27  ( 1 )  " "         "*"         " "         " "       
## 28  ( 1 )  " "         "*"         " "         " "       
## 29  ( 1 )  " "         "*"         " "         " "       
## 30  ( 1 )  " "         "*"         " "         " "       
## 31  ( 1 )  " "         "*"         " "         " "       
## 32  ( 1 )  " "         "*"         " "         " "       
## 33  ( 1 )  " "         "*"         " "         " "       
## 34  ( 1 )  " "         "*"         " "         " "       
## 35  ( 1 )  " "         "*"         " "         " "       
## 36  ( 1 )  " "         "*"         " "         " "       
## 37  ( 1 )  " "         "*"         " "         " "       
## 38  ( 1 )  " "         "*"         " "         " "       
## 39  ( 1 )  " "         "*"         " "         " "       
## 40  ( 1 )  " "         "*"         " "         " "       
## 41  ( 1 )  " "         "*"         " "         " "       
## 42  ( 1 )  " "         "*"         " "         " "       
## 43  ( 1 )  " "         "*"         " "         " "       
## 44  ( 1 )  " "         "*"         " "         " "       
## 45  ( 1 )  " "         "*"         " "         " "       
## 46  ( 1 )  " "         "*"         " "         " "       
## 47  ( 1 )  " "         "*"         " "         " "       
## 48  ( 1 )  " "         "*"         " "         " "       
## 49  ( 1 )  " "         "*"         " "         " "       
## 50  ( 1 )  " "         "*"         " "         " "       
## 51  ( 1 )  " "         "*"         " "         " "       
## 52  ( 1 )  " "         "*"         " "         " "       
## 53  ( 1 )  " "         "*"         " "         " "       
## 54  ( 1 )  " "         "*"         " "         " "       
## 55  ( 1 )  " "         "*"         " "         " "       
## 56  ( 1 )  " "         "*"         " "         " "       
## 57  ( 1 )  " "         "*"         " "         " "       
## 58  ( 1 )  " "         "*"         " "         " "       
## 59  ( 1 )  " "         "*"         " "         " "       
## 60  ( 1 )  " "         "*"         " "         " "       
## 61  ( 1 )  " "         "*"         " "         " "       
## 62  ( 1 )  " "         "*"         " "         " "       
## 63  ( 1 )  " "         "*"         " "         " "       
## 64  ( 1 )  " "         "*"         " "         " "       
## 65  ( 1 )  " "         "*"         " "         " "       
## 66  ( 1 )  " "         "*"         " "         " "       
## 67  ( 1 )  " "         "*"         " "         " "       
## 68  ( 1 )  " "         "*"         " "         " "       
## 69  ( 1 )  " "         "*"         " "         " "       
## 70  ( 1 )  " "         "*"         " "         " "       
## 71  ( 1 )  " "         "*"         " "         " "       
## 72  ( 1 )  " "         "*"         " "         " "       
## 73  ( 1 )  " "         "*"         " "         " "       
## 74  ( 1 )  " "         "*"         " "         " "       
## 75  ( 1 )  " "         "*"         " "         " "       
## 76  ( 1 )  " "         "*"         " "         " "       
## 77  ( 1 )  " "         "*"         " "         " "       
## 78  ( 1 )  " "         "*"         " "         " "       
## 79  ( 1 )  " "         "*"         " "         " "       
## 80  ( 1 )  " "         "*"         " "         " "       
## 81  ( 1 )  " "         "*"         " "         " "       
## 82  ( 1 )  " "         "*"         " "         " "       
## 83  ( 1 )  " "         "*"         " "         " "       
## 84  ( 1 )  " "         "*"         " "         " "       
## 85  ( 1 )  " "         "*"         " "         " "       
## 86  ( 1 )  " "         "*"         " "         " "       
## 87  ( 1 )  " "         "*"         " "         " "       
## 88  ( 1 )  " "         "*"         " "         " "       
## 89  ( 1 )  " "         "*"         " "         " "       
## 90  ( 1 )  "*"         "*"         " "         " "       
## 91  ( 1 )  "*"         "*"         " "         " "       
## 92  ( 1 )  "*"         "*"         " "         " "       
## 93  ( 1 )  "*"         "*"         " "         " "       
## 94  ( 1 )  "*"         "*"         " "         " "       
## 95  ( 1 )  "*"         "*"         " "         " "       
## 96  ( 1 )  "*"         "*"         " "         " "       
## 97  ( 1 )  "*"         "*"         " "         " "       
## 98  ( 1 )  "*"         "*"         " "         " "       
## 99  ( 1 )  "*"         "*"         " "         " "       
## 100  ( 1 ) "*"         "*"         " "         " "       
## 101  ( 1 ) "*"         "*"         " "         " "       
## 102  ( 1 ) "*"         "*"         " "         " "       
## 103  ( 1 ) "*"         "*"         " "         " "       
## 104  ( 1 ) "*"         "*"         " "         " "       
## 105  ( 1 ) "*"         "*"         " "         " "       
## 106  ( 1 ) "*"         "*"         " "         " "       
## 107  ( 1 ) "*"         "*"         " "         " "       
## 108  ( 1 ) "*"         "*"         " "         " "       
## 109  ( 1 ) "*"         "*"         " "         " "       
## 110  ( 1 ) "*"         "*"         " "         " "       
## 111  ( 1 ) "*"         "*"         " "         " "       
## 112  ( 1 ) "*"         "*"         " "         " "       
## 113  ( 1 ) "*"         "*"         " "         " "       
## 114  ( 1 ) "*"         "*"         " "         " "       
## 115  ( 1 ) "*"         "*"         " "         " "       
## 116  ( 1 ) "*"         "*"         " "         " "       
## 117  ( 1 ) "*"         "*"         " "         " "       
## 118  ( 1 ) "*"         "*"         " "         " "       
## 119  ( 1 ) "*"         "*"         " "         " "       
## 120  ( 1 ) "*"         "*"         " "         " "       
## 121  ( 1 ) "*"         "*"         " "         " "       
## 122  ( 1 ) "*"         "*"         " "         " "       
## 123  ( 1 ) "*"         "*"         " "         " "       
## 124  ( 1 ) "*"         "*"         " "         " "       
## 125  ( 1 ) "*"         "*"         " "         " "       
## 126  ( 1 ) "*"         "*"         " "         " "       
## 127  ( 1 ) "*"         "*"         " "         " "       
## 128  ( 1 ) "*"         "*"         " "         " "       
## 129  ( 1 ) "*"         "*"         " "         " "       
## 130  ( 1 ) "*"         "*"         " "         " "       
## 131  ( 1 ) "*"         "*"         " "         " "       
## 132  ( 1 ) "*"         "*"         " "         " "       
## 133  ( 1 ) "*"         "*"         " "         " "       
## 134  ( 1 ) "*"         "*"         " "         " "       
## 135  ( 1 ) "*"         "*"         " "         " "       
## 136  ( 1 ) "*"         "*"         " "         " "       
## 137  ( 1 ) "*"         "*"         " "         " "       
## 138  ( 1 ) "*"         "*"         " "         " "       
## 139  ( 1 ) "*"         "*"         " "         " "       
## 140  ( 1 ) "*"         "*"         " "         " "       
## 141  ( 1 ) "*"         "*"         " "         " "       
## 142  ( 1 ) "*"         "*"         " "         " "       
## 143  ( 1 ) "*"         "*"         " "         " "       
## 144  ( 1 ) "*"         "*"         " "         " "       
## 145  ( 1 ) "*"         "*"         " "         " "       
## 146  ( 1 ) "*"         "*"         " "         " "       
## 147  ( 1 ) "*"         "*"         "*"         " "       
## 148  ( 1 ) "*"         "*"         "*"         " "       
## 149  ( 1 ) "*"         "*"         "*"         " "       
## 150  ( 1 ) "*"         "*"         "*"         " "       
## 151  ( 1 ) "*"         "*"         "*"         " "       
##            SaleConditionAdjLand SaleConditionAlloca SaleConditionFamily
## 1  ( 1 )   " "                  " "                 " "                
## 2  ( 1 )   " "                  " "                 " "                
## 3  ( 1 )   " "                  " "                 " "                
## 4  ( 1 )   " "                  " "                 " "                
## 5  ( 1 )   " "                  " "                 " "                
## 6  ( 1 )   " "                  " "                 " "                
## 7  ( 1 )   " "                  " "                 " "                
## 8  ( 1 )   " "                  " "                 " "                
## 9  ( 1 )   " "                  " "                 " "                
## 10  ( 1 )  " "                  " "                 " "                
## 11  ( 1 )  " "                  " "                 " "                
## 12  ( 1 )  " "                  " "                 " "                
## 13  ( 1 )  " "                  " "                 " "                
## 14  ( 1 )  " "                  " "                 " "                
## 15  ( 1 )  " "                  " "                 " "                
## 16  ( 1 )  " "                  " "                 " "                
## 17  ( 1 )  " "                  " "                 " "                
## 18  ( 1 )  " "                  " "                 " "                
## 19  ( 1 )  " "                  " "                 " "                
## 20  ( 1 )  " "                  " "                 " "                
## 21  ( 1 )  " "                  " "                 " "                
## 22  ( 1 )  " "                  " "                 " "                
## 23  ( 1 )  " "                  " "                 " "                
## 24  ( 1 )  " "                  " "                 " "                
## 25  ( 1 )  " "                  " "                 " "                
## 26  ( 1 )  " "                  " "                 " "                
## 27  ( 1 )  " "                  " "                 " "                
## 28  ( 1 )  " "                  " "                 " "                
## 29  ( 1 )  " "                  " "                 " "                
## 30  ( 1 )  " "                  " "                 " "                
## 31  ( 1 )  " "                  " "                 " "                
## 32  ( 1 )  " "                  " "                 " "                
## 33  ( 1 )  " "                  " "                 " "                
## 34  ( 1 )  " "                  " "                 " "                
## 35  ( 1 )  " "                  " "                 " "                
## 36  ( 1 )  " "                  " "                 " "                
## 37  ( 1 )  " "                  " "                 " "                
## 38  ( 1 )  " "                  " "                 " "                
## 39  ( 1 )  " "                  " "                 " "                
## 40  ( 1 )  " "                  " "                 " "                
## 41  ( 1 )  " "                  " "                 " "                
## 42  ( 1 )  " "                  " "                 " "                
## 43  ( 1 )  " "                  " "                 " "                
## 44  ( 1 )  " "                  " "                 " "                
## 45  ( 1 )  " "                  " "                 " "                
## 46  ( 1 )  " "                  " "                 " "                
## 47  ( 1 )  " "                  " "                 " "                
## 48  ( 1 )  " "                  " "                 " "                
## 49  ( 1 )  " "                  " "                 " "                
## 50  ( 1 )  " "                  " "                 " "                
## 51  ( 1 )  " "                  " "                 " "                
## 52  ( 1 )  " "                  " "                 " "                
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## 54  ( 1 )  " "                  " "                 " "                
## 55  ( 1 )  " "                  " "                 " "                
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## 57  ( 1 )  " "                  " "                 " "                
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## 60  ( 1 )  " "                  " "                 " "                
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## 67  ( 1 )  " "                  " "                 " "                
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## 70  ( 1 )  " "                  " "                 " "                
## 71  ( 1 )  " "                  " "                 " "                
## 72  ( 1 )  " "                  " "                 " "                
## 73  ( 1 )  " "                  " "                 " "                
## 74  ( 1 )  " "                  " "                 " "                
## 75  ( 1 )  " "                  " "                 " "                
## 76  ( 1 )  " "                  " "                 " "                
## 77  ( 1 )  " "                  " "                 " "                
## 78  ( 1 )  " "                  " "                 " "                
## 79  ( 1 )  " "                  " "                 " "                
## 80  ( 1 )  " "                  " "                 " "                
## 81  ( 1 )  " "                  " "                 " "                
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## 83  ( 1 )  " "                  " "                 " "                
## 84  ( 1 )  " "                  " "                 " "                
## 85  ( 1 )  " "                  " "                 " "                
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## 87  ( 1 )  " "                  " "                 " "                
## 88  ( 1 )  " "                  " "                 " "                
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## 90  ( 1 )  " "                  " "                 " "                
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## 93  ( 1 )  " "                  " "                 " "                
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## 95  ( 1 )  " "                  " "                 " "                
## 96  ( 1 )  " "                  " "                 " "                
## 97  ( 1 )  " "                  " "                 " "                
## 98  ( 1 )  " "                  " "                 " "                
## 99  ( 1 )  " "                  " "                 " "                
## 100  ( 1 ) " "                  " "                 " "                
## 101  ( 1 ) " "                  " "                 " "                
## 102  ( 1 ) " "                  " "                 " "                
## 103  ( 1 ) " "                  " "                 " "                
## 104  ( 1 ) " "                  " "                 " "                
## 105  ( 1 ) " "                  " "                 " "                
## 106  ( 1 ) " "                  " "                 " "                
## 107  ( 1 ) "*"                  " "                 " "                
## 108  ( 1 ) "*"                  " "                 " "                
## 109  ( 1 ) "*"                  " "                 " "                
## 110  ( 1 ) "*"                  " "                 " "                
## 111  ( 1 ) "*"                  " "                 " "                
## 112  ( 1 ) "*"                  " "                 " "                
## 113  ( 1 ) "*"                  " "                 " "                
## 114  ( 1 ) "*"                  " "                 " "                
## 115  ( 1 ) "*"                  " "                 " "                
## 116  ( 1 ) "*"                  " "                 " "                
## 117  ( 1 ) "*"                  " "                 " "                
## 118  ( 1 ) "*"                  " "                 " "                
## 119  ( 1 ) "*"                  " "                 " "                
## 120  ( 1 ) "*"                  " "                 " "                
## 121  ( 1 ) "*"                  " "                 " "                
## 122  ( 1 ) "*"                  " "                 " "                
## 123  ( 1 ) "*"                  " "                 " "                
## 124  ( 1 ) "*"                  " "                 " "                
## 125  ( 1 ) "*"                  " "                 " "                
## 126  ( 1 ) "*"                  " "                 " "                
## 127  ( 1 ) "*"                  " "                 " "                
## 128  ( 1 ) "*"                  " "                 " "                
## 129  ( 1 ) "*"                  " "                 " "                
## 130  ( 1 ) "*"                  " "                 " "                
## 131  ( 1 ) "*"                  " "                 " "                
## 132  ( 1 ) "*"                  " "                 " "                
## 133  ( 1 ) "*"                  " "                 " "                
## 134  ( 1 ) "*"                  " "                 " "                
## 135  ( 1 ) "*"                  " "                 " "                
## 136  ( 1 ) "*"                  " "                 " "                
## 137  ( 1 ) "*"                  " "                 " "                
## 138  ( 1 ) "*"                  " "                 " "                
## 139  ( 1 ) "*"                  " "                 " "                
## 140  ( 1 ) "*"                  " "                 " "                
## 141  ( 1 ) "*"                  " "                 " "                
## 142  ( 1 ) "*"                  " "                 " "                
## 143  ( 1 ) "*"                  " "                 " "                
## 144  ( 1 ) "*"                  " "                 " "                
## 145  ( 1 ) "*"                  " "                 " "                
## 146  ( 1 ) "*"                  " "                 " "                
## 147  ( 1 ) "*"                  " "                 " "                
## 148  ( 1 ) "*"                  " "                 " "                
## 149  ( 1 ) "*"                  " "                 " "                
## 150  ( 1 ) "*"                  " "                 " "                
## 151  ( 1 ) "*"                  " "                 " "                
##            SaleConditionNormal SaleConditionPartial
## 1  ( 1 )   " "                 " "                 
## 2  ( 1 )   " "                 " "                 
## 3  ( 1 )   " "                 " "                 
## 4  ( 1 )   " "                 " "                 
## 5  ( 1 )   " "                 " "                 
## 6  ( 1 )   " "                 " "                 
## 7  ( 1 )   " "                 " "                 
## 8  ( 1 )   " "                 " "                 
## 9  ( 1 )   " "                 " "                 
## 10  ( 1 )  " "                 " "                 
## 11  ( 1 )  " "                 " "                 
## 12  ( 1 )  " "                 " "                 
## 13  ( 1 )  " "                 " "                 
## 14  ( 1 )  " "                 " "                 
## 15  ( 1 )  " "                 " "                 
## 16  ( 1 )  " "                 " "                 
## 17  ( 1 )  " "                 " "                 
## 18  ( 1 )  " "                 " "                 
## 19  ( 1 )  " "                 " "                 
## 20  ( 1 )  " "                 " "                 
## 21  ( 1 )  " "                 " "                 
## 22  ( 1 )  " "                 " "                 
## 23  ( 1 )  " "                 " "                 
## 24  ( 1 )  " "                 " "                 
## 25  ( 1 )  " "                 " "                 
## 26  ( 1 )  " "                 " "                 
## 27  ( 1 )  " "                 " "                 
## 28  ( 1 )  " "                 " "                 
## 29  ( 1 )  " "                 " "                 
## 30  ( 1 )  " "                 " "                 
## 31  ( 1 )  " "                 " "                 
## 32  ( 1 )  " "                 " "                 
## 33  ( 1 )  " "                 " "                 
## 34  ( 1 )  " "                 " "                 
## 35  ( 1 )  " "                 " "                 
## 36  ( 1 )  " "                 " "                 
## 37  ( 1 )  " "                 " "                 
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## 39  ( 1 )  " "                 " "                 
## 40  ( 1 )  " "                 " "                 
## 41  ( 1 )  " "                 " "                 
## 42  ( 1 )  " "                 " "                 
## 43  ( 1 )  " "                 " "                 
## 44  ( 1 )  " "                 " "                 
## 45  ( 1 )  "*"                 " "                 
## 46  ( 1 )  "*"                 " "                 
## 47  ( 1 )  "*"                 " "                 
## 48  ( 1 )  "*"                 " "                 
## 49  ( 1 )  "*"                 " "                 
## 50  ( 1 )  "*"                 " "                 
## 51  ( 1 )  "*"                 " "                 
## 52  ( 1 )  "*"                 " "                 
## 53  ( 1 )  "*"                 " "                 
## 54  ( 1 )  "*"                 " "                 
## 55  ( 1 )  "*"                 " "                 
## 56  ( 1 )  "*"                 " "                 
## 57  ( 1 )  "*"                 " "                 
## 58  ( 1 )  "*"                 " "                 
## 59  ( 1 )  "*"                 " "                 
## 60  ( 1 )  "*"                 " "                 
## 61  ( 1 )  "*"                 " "                 
## 62  ( 1 )  "*"                 " "                 
## 63  ( 1 )  "*"                 " "                 
## 64  ( 1 )  "*"                 " "                 
## 65  ( 1 )  "*"                 " "                 
## 66  ( 1 )  "*"                 " "                 
## 67  ( 1 )  "*"                 " "                 
## 68  ( 1 )  "*"                 " "                 
## 69  ( 1 )  "*"                 " "                 
## 70  ( 1 )  "*"                 " "                 
## 71  ( 1 )  "*"                 " "                 
## 72  ( 1 )  "*"                 " "                 
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## 83  ( 1 )  "*"                 " "                 
## 84  ( 1 )  "*"                 " "                 
## 85  ( 1 )  "*"                 " "                 
## 86  ( 1 )  "*"                 " "                 
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## 88  ( 1 )  "*"                 " "                 
## 89  ( 1 )  "*"                 " "                 
## 90  ( 1 )  "*"                 " "                 
## 91  ( 1 )  "*"                 " "                 
## 92  ( 1 )  "*"                 " "                 
## 93  ( 1 )  "*"                 " "                 
## 94  ( 1 )  "*"                 " "                 
## 95  ( 1 )  "*"                 " "                 
## 96  ( 1 )  "*"                 " "                 
## 97  ( 1 )  "*"                 " "                 
## 98  ( 1 )  "*"                 " "                 
## 99  ( 1 )  "*"                 " "                 
## 100  ( 1 ) "*"                 " "                 
## 101  ( 1 ) "*"                 " "                 
## 102  ( 1 ) "*"                 " "                 
## 103  ( 1 ) "*"                 " "                 
## 104  ( 1 ) "*"                 " "                 
## 105  ( 1 ) "*"                 " "                 
## 106  ( 1 ) "*"                 " "                 
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## 110  ( 1 ) "*"                 " "                 
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## 117  ( 1 ) "*"                 " "                 
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## 119  ( 1 ) "*"                 " "                 
## 120  ( 1 ) "*"                 " "                 
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## 125  ( 1 ) "*"                 " "                 
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## 127  ( 1 ) "*"                 " "                 
## 128  ( 1 ) "*"                 " "                 
## 129  ( 1 ) "*"                 " "                 
## 130  ( 1 ) "*"                 " "                 
## 131  ( 1 ) "*"                 " "                 
## 132  ( 1 ) "*"                 " "                 
## 133  ( 1 ) "*"                 " "                 
## 134  ( 1 ) "*"                 " "                 
## 135  ( 1 ) "*"                 " "                 
## 136  ( 1 ) "*"                 " "                 
## 137  ( 1 ) "*"                 " "                 
## 138  ( 1 ) "*"                 " "                 
## 139  ( 1 ) "*"                 " "                 
## 140  ( 1 ) "*"                 " "                 
## 141  ( 1 ) "*"                 " "                 
## 142  ( 1 ) "*"                 " "                 
## 143  ( 1 ) "*"                 " "                 
## 144  ( 1 ) "*"                 " "                 
## 145  ( 1 ) "*"                 " "                 
## 146  ( 1 ) "*"                 " "                 
## 147  ( 1 ) "*"                 " "                 
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## 149  ( 1 ) "*"                 " "                 
## 150  ( 1 ) "*"                 " "                 
## 151  ( 1 ) "*"                 " "
par(mfrow=c(2,2))
plot(forward_summary$rss, type = "b", ylab = "rss")
plot(forward_summary$cp, type = "b", ylab = "cp")

#cp
which.min(forward_summary$cp)
## [1] 86
points(86, forward_summary$cp[86], col="red", cex=2, pch = 20)

#bic
plot(forward_summary$bic, type = "b", ylab="bic")
which.min(forward_summary$bic)
## [1] 51
points(51,forward_summary$bic[51], col="green", cex=2, pch=20)

#adjr2
plot(forward_summary$adjr2, type = "b", ylab="adjr2")
which.max(forward_summary$adjr2)
## [1] 126
points(126, forward_summary$adjr2[126], col = "blue", cex=2, pch=20)

Forward Prediction

pred_fwd_rss <- predict_regsub(forward, newdata = data.frame(test_knn),id=which.min(forward_summary$rss))

pred_fwd_bic <- predict_regsub(forward, newdata = data.frame(test_knn),id=which.min(forward_summary$bic))

pred_fwd_cp <- predict_regsub(forward, newdata = data.frame(test_knn),id=which.min(forward_summary$cp))

pred_fwd_adjr2<- predict_regsub(forward, newdata = data.frame(test_knn),id=which.min(forward_summary$adjr2))

#pred_fwd_rss
#pred_fwd_bic
#pred_fwd_cp
#pred_fwd_adjr2

# Storing in .csv files 
fwdrss_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_fwd_rss)
write.csv(fwdrss_csv, file = "fwd_rss.csv", row.names = FALSE)

fwdbic_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_fwd_bic)
write.csv(fwdbic_csv, file = "fwd_bic.csv", row.names = FALSE)

fwdcp_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_fwd_cp)
write.csv(fwdcp_csv, file = "fwd_cp.csv", row.names = FALSE)

fwdadjr2_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_fwd_adjr2)
write.csv(fwdadjr2_csv, file = "fwd_adjr2.csv", row.names = FALSE)

Estimated Test Error: Forward

library(leaps)
library(boot)

fold_index <- cut(sample(1:nrow(train_linear3)), breaks = 10, labels = FALSE)
cv_error_best <- rep(0, 10)
for (i in 1:126){
   cat("i=", i, "\n")
   error <- rep(0,10)
   for (k in 1:10){
     train_best_cv <- train_linear3[fold_index!=k,]
     test_best_cv <- train_linear3[fold_index==k,]
     true_y <- test_best_cv[,'price']
     best_fit_cv <- regsubsets(price~., data=train_best_cv, nvmax = 200, method = "forward")
     pred_best_cv <- predict_regsub(best_fit_cv, test_best_cv, id=i)
     error[k] <- mean((pred_best_cv-true_y)^2)
   }
  # print(mean(error))
}
## i= 1
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 2
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 3
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 4
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 5
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 6
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 7
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 8
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 9
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 10
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 11
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 12
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 13
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 14
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 15
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 16
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 17
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 18
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 19
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 20
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 21
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 22
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 23
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 24
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 25
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 26
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 27
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 28
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 29
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 30
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 31
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 32
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 33
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 34
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 35
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 36
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 37
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 38
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 39
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 40
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 41
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 42
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 43
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 44
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 45
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 46
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 47
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 48
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 49
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 50
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 51
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 52
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 53
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 54
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 55
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 56
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 57
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 58
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 59
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 60
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 61
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 62
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 63
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 64
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 65
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 66
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 67
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 68
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 69
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 70
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 71
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 72
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 73
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 74
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 75
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 76
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 77
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 78
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 79
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 80
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 81
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 82
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 83
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 84
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 85
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 86
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 87
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 88
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 89
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 90
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 91
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 92
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 93
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 94
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 95
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 96
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 97
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 98
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 99
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 100
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 101
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 102
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 103
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 104
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 105
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 106
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 107
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 108
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 109
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 110
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 111
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 112
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 113
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 114
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 115
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 116
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 117
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 118
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 119
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 120
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 121
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 122
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 123
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 124
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 125
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## i= 126
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
# note each of the bic, cp, and adjr2 estimated test error based on the 13th and 15th 
# NOTE: Commented out as it takes a very long time to run. 

Estimated Test Error Forward Stepwise

BIC: point 86, 1419937192 CP: point 51, 1564218204 Adjr2: point 126, 1506803815

Forward: RSS

Forward: RSS

Forward: BIC

Forward: BIC

Forward: CP

Forward: CP

Forward: ADJR2

Forward: ADJR2

Forward Stepwise Comments

The scores for the BIC and CP of forward stepwise are better than their counterparts in the best subset method. There is not much difference in the adjr2 result in comparison to the best subset adjr2 result. In general, the forward stepwise method is computationally cheaper than best subset and it does not guaranteed to find the best subset in the data. It can only be applied when the number of predictors is greater than n.

Backward Stepwise

train_backward <- data.frame(train_knn_actual)
backward <- regsubsets(price~., data = train_backward, nvmax = 80, method = "backward")
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
backward_summary <- summary(backward)
#backward_summary
# Plot Commands
par(mfrow = c(2,2))
plot(backward_summary$rss, type = "b", ylab = "rss")
plot(backward_summary$cp, type = "b", ylab = "cp")

which.min(backward_summary$cp)
## [1] 81
points(35, backward_summary$cp[35], col = "red", cex=2, pch=20)

which.min(backward_summary$bic)
## [1] 39
plot(backward_summary$bic, type = "b", ylab = "bic")
points(24, backward_summary$cp[24], col = "green", cex=2, pch=20)

which.min(backward_summary$adjr2)
## [1] 1
plot(backward_summary$adjr2, type = "b", ylab = "bic")
points(1, backward_summary$cp[1], col = "blue", cex=2, pch=20)

Prediction Backwards Stepwise

test_backward <- data.frame(test_knn)

pred_back_rss <- predict_regsub(backward, newdata = test_backward, id = which.min(backward_summary$rss))

pred_back_bic <- predict_regsub(backward, newdata = test_backward, id = which.min(backward_summary$bic))

pred_back_cp <- predict_regsub(backward, newdata = test_backward, id = which.min(backward_summary$cp))

pred_back_adjr2 <- predict_regsub(backward, newdata = test_backward, id = which.min(backward_summary$adjr2))

# Storing in .csv files 
bckrss_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_back_rss)
write.csv(bckrss_csv, file = "back_rss_midterm.csv", row.names = FALSE)

bckbic_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_back_bic)
write.csv(bckbic_csv, file = "back_bic_midterm.csv", row.names = FALSE)

bckcp_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_back_cp)
write.csv(bckcp_csv, file = "back_cp_midterm.csv", row.names = FALSE)

bckadjr2_csv <- cbind("Id"=1461:2919, "SalePrice" = pred_back_adjr2)
write.csv(bckadjr2_csv, file = "back_adjr2_midterm.csv", row.names = FALSE)

Estimated Test Error: Backward

library(leaps)
library(boot)

fold_index <- cut(sample(1:nrow(train_linear3)), breaks = 10, labels = FALSE)
cv_error_best <- rep(0, 10)
for (i in 1:40){
   cat("i=", i, "\n")
   error_back <- rep(0,10)
   for (k in 1:10){
     train_best_cv <- train_linear3[fold_index!=k,]
     test_best_cv <- train_linear3[fold_index==k,]
     true_y <- test_best_cv[,'price']
     best_fit_cv <- regsubsets(price~., data=train_best_cv, nvmax = 200, method = "backward")
     pred_best_cv <- predict_regsub(best_fit_cv, test_best_cv, id=i)
     error_back[k] <- mean((pred_best_cv-true_y)^2)
   }
   print(mean(error_back))
}
## i= 1
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3759275287
## i= 2
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3593119982
## i= 3
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3136097298
## i= 4
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3042545135
## i= 5
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3033173763
## i= 6
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3053587552
## i= 7
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3051200107
## i= 8
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3032044406
## i= 9
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2980309350
## i= 10
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2977297586
## i= 11
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3003929381
## i= 12
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2994362727
## i= 13
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 3029180902
## i= 14
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2903679351
## i= 15
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2778167826
## i= 16
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2706293912
## i= 17
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2253657452
## i= 18
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2214936038
## i= 19
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2095009756
## i= 20
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 2094902689
## i= 21
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1966227742
## i= 22
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1895450098
## i= 23
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1840791609
## i= 24
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1837808463
## i= 25
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1765758032
## i= 26
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1736638291
## i= 27
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1723397979
## i= 28
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1702032209
## i= 29
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1691114614
## i= 30
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1684406189
## i= 31
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1650526558
## i= 32
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1661716138
## i= 33
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1615369800
## i= 34
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1580826852
## i= 35
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1576438467
## i= 36
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1587208263
## i= 37
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1568049808
## i= 38
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1522332499
## i= 39
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1549298022
## i= 40
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 3 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 4 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 7 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 5 linear dependencies found
## Reordering variables and trying again:
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax,
## force.in = force.in, : 6 linear dependencies found
## Reordering variables and trying again:
## [1] 1523974362

Estimated Test Errors for Backwards Stepwise

BIC:point 35, 1718570574 CP:point 24, 2093298831 Adjr2: point 1, 826431765

sqrt(1718570574) # BIC
## [1] 41455.65
sqrt(2093298831)
## [1] 45752.58
sqrt(826431765)
## [1] 28747.73
Backward: RSS

Backward: RSS

Backward: BIC

Backward: BIC

Backward: CP

Backward: CP

Backward: ADJR2

Backward: ADJR2

Backwards Stepwise Comments

It appears from the true test error results for each summary variable for backwards stepwise are not reliable as the error is extremely high. In general, backward stepwise is similar to forward stepwise in that it is not entriely reliable to find the best subset. It also cannot be applied when p>n due to the inability to perform least squares.

Ridge

library(glmnet)
# X <- model.matrix(SalePrice~., train_knn_actual)
# y <- train_knn_actual$SalePrice

ridge <- glmnet(train_knn_actual,price, alpha = 0) # 0 indicates ridge reg.
ridge$lamda
## NULL
grid <- 10^seq(10, -2, length=100)
ridge_mod <- glmnet(train_knn_actual,price,alpha=0, lambda =grid)
dim(coef(ridge_mod))
## [1] 211 100
ridge_mod$lambda[41]
## [1] 141747.4
coef(ridge_mod)[,41]
##          (Intercept)           MSSubClass           MSZoningFV 
##        -2.884642e+05        -3.162083e+01         1.954748e+03 
##           MSZoningRH           MSZoningRL           MSZoningRM 
##        -1.246777e+03         2.994798e+03        -3.446788e+03 
##          LotFrontage              LotArea           StreetPave 
##         6.260510e+01         2.053746e-01         1.183762e+04 
##            AlleyPave          LotShapeIR2          LotShapeIR3 
##        -6.994827e+02         5.619679e+03        -1.185003e+04 
##          LotShapeReg       LandContourHLS       LandContourLow 
##        -2.178539e+03         5.092453e+03         9.384153e+02 
##       LandContourLvl      UtilitiesNoSeWa     LotConfigCulDSac 
##         6.470831e+02        -1.472430e+04         5.365354e+03 
##         LotConfigFR2         LotConfigFR3      LotConfigInside 
##        -3.448419e+03        -2.080002e+03        -7.895120e+02 
##         LandSlopeMod         LandSlopeSev  NeighborhoodBlueste 
##         3.078414e+03        -6.830434e+02        -2.803762e+03 
##   NeighborhoodBrDale  NeighborhoodBrkSide  NeighborhoodClearCr 
##        -3.800750e+03         9.864359e+02         2.272598e+03 
##  NeighborhoodCollgCr  NeighborhoodCrawfor  NeighborhoodEdwards 
##        -1.919407e+03         8.918185e+03        -6.656116e+03 
##  NeighborhoodGilbert   NeighborhoodIDOTRR  NeighborhoodMeadowV 
##        -5.302151e+03        -4.239581e+03        -9.737086e+03 
##  NeighborhoodMitchel    NeighborhoodNAmes  NeighborhoodNoRidge 
##        -5.112997e+03        -3.538274e+03         2.247471e+04 
##  NeighborhoodNPkVill  NeighborhoodNridgHt   NeighborhoodNWAmes 
##        -2.125746e+03         1.560342e+04        -2.247481e+03 
##  NeighborhoodOldTown   NeighborhoodSawyer  NeighborhoodSawyerW 
##        -2.683363e+03        -2.986954e+03        -2.738046e+02 
##  NeighborhoodSomerst  NeighborhoodStoneBr    NeighborhoodSWISU 
##         2.495400e+03         2.043655e+04        -2.064523e+03 
##   NeighborhoodTimber  NeighborhoodVeenker      Condition1Feedr 
##         1.471450e+03         8.136733e+03        -4.742995e+03 
##       Condition1Norm       Condition1PosA       Condition1PosN 
##         3.498277e+03         3.671532e+03        -1.363206e+03 
##       Condition1RRAe       Condition1RRAn       Condition1RRNe 
##        -6.183263e+03         2.285358e+01        -3.959265e+03 
##       Condition1RRNn      Condition2Feedr       Condition2Norm 
##        -9.594475e+02        -1.949115e+03         5.599220e+03 
##       Condition2PosA       Condition2PosN       Condition2RRAe 
##         2.947853e+04        -3.979445e+04        -4.154078e+03 
##       Condition2RRAn       Condition2RRNn       BldgType2fmCon 
##        -3.494337e+03         2.969955e+03        -3.692448e+03 
##       BldgTypeDuplex        BldgTypeTwnhs       BldgTypeTwnhsE 
##        -3.499910e+03        -6.205118e+03        -4.293275e+03 
##     HouseStyle1.5Unf     HouseStyle1Story     HouseStyle2.5Fin 
##         5.874042e+02        -1.341281e+03         4.622679e+03 
##     HouseStyle2.5Unf     HouseStyle2Story     HouseStyleSFoyer 
##         1.438498e+02         2.227939e+03        -3.024909e+03 
##       HouseStyleSLvl          OverallQual          OverallCond 
##        -2.878063e+03         4.247628e+03         1.495878e+03 
##            YearBuilt         YearRemodAdd       RoofStyleGable 
##         5.452595e+01         1.207155e+02        -3.596518e+03 
##     RoofStyleGambrel         RoofStyleHip     RoofStyleMansard 
##         1.240705e+03         3.693105e+03         4.690392e+02 
##        RoofStyleShed      RoofMatlCompShg      RoofMatlMembran 
##         8.246802e+03        -2.083878e+03         1.320941e+04 
##        RoofMatlMetal         RoofMatlRoll      RoofMatlTar&Grv 
##        -3.400113e+02        -5.391540e+03        -1.996211e+03 
##      RoofMatlWdShake      RoofMatlWdShngl   Exterior1stAsphShn 
##         2.990279e+03         4.261016e+04        -1.692840e+03 
##   Exterior1stBrkComm   Exterior1stBrkFace    Exterior1stCBlock 
##        -7.261056e+03         6.847295e+03        -8.995124e+03 
##   Exterior1stCemntBd   Exterior1stHdBoard   Exterior1stImStucc 
##         5.295192e+03        -1.762169e+03        -5.835584e+02 
##   Exterior1stMetalSd   Exterior1stPlywood     Exterior1stStone 
##        -6.059310e+02        -1.162937e+03         9.197395e+03 
##    Exterior1stStucco   Exterior1stVinylSd   Exterior1stWd Sdng 
##        -2.619251e+03         9.701165e+02        -1.207124e+03 
##   Exterior1stWdShing   Exterior2ndAsphShn   Exterior2ndBrk Cmn 
##        -1.399431e+03        -1.295939e+03        -2.383490e+03 
##   Exterior2ndBrkFace    Exterior2ndCBlock   Exterior2ndCmentBd 
##         3.338462e+03        -8.987591e+03         4.769203e+03 
##   Exterior2ndHdBoard   Exterior2ndImStucc   Exterior2ndMetalSd 
##        -1.165852e+03         1.313913e+04        -5.793610e+02 
##     Exterior2ndOther   Exterior2ndPlywood     Exterior2ndStone 
##         6.480941e+03        -1.820078e+03        -5.989528e+02 
##    Exterior2ndStucco   Exterior2ndVinylSd   Exterior2ndWd Sdng 
##        -4.216846e+03         1.167711e+03        -4.536238e+02 
##   Exterior2ndWd Shng    MasVnrTypeBrkFace       MasVnrTypeNone 
##        -1.392763e+03         4.242575e+02        -1.630663e+03 
##      MasVnrTypeStone           MasVnrArea            ExterQual 
##         5.011192e+03         1.741559e+01        -6.255878e+03 
##            ExterCond     FoundationCBlock      FoundationPConc 
##         8.218475e+01        -2.817954e+03         3.534860e+03 
##       FoundationSlab      FoundationStone       FoundationWood 
##        -9.775017e+02         1.485584e+03        -3.327238e+03 
##             BsmtQual             BsmtCond       BsmtExposureGd 
##        -4.533333e+03         5.456145e+02         9.449820e+03 
##       BsmtExposureMn       BsmtExposureNo         BsmtFinType1 
##         2.292711e+02        -4.568408e+03        -5.030689e+02 
##           BsmtFinSF1         BsmtFinType2           BsmtFinSF2 
##         6.330945e+00        -1.057212e+02         1.493379e+00 
##            BsmtUnfSF          TotalBsmtSF          HeatingGasA 
##         9.737263e-01         8.028793e+00        -7.092672e+02 
##          HeatingGasW          HeatingGrav          HeatingOthW 
##         4.174418e+03        -4.570893e+03        -7.247271e+03 
##          HeatingWall            HeatingQC           CentralAir 
##        -5.949669e+02        -1.066562e+03         3.633205e+03 
##      ElectricalFuseF      ElectricalFuseP        ElectricalMix 
##        -1.374149e+03        -5.437549e+02        -6.880544e+03 
##      ElectricalSBrkr            X1stFlrSF            X2ndFlrSF 
##         1.405927e+03         1.090626e+01         6.746558e+00 
##         LowQualFinSF            GrLivArea         BsmtFullBath 
##         2.467395e+00         1.057677e+01         3.535249e+03 
##         BsmtHalfBath             FullBath             HalfBath 
##        -5.558073e+02         5.698199e+03         3.427236e+03 
##         BedroomAbvGr         KitchenAbvGr          KitchenQual 
##         1.007148e+03        -4.756605e+03        -2.858366e+03 
##         TotRmsAbvGrd       FunctionalMaj2       FunctionalMin1 
##         2.455769e+03        -1.118482e+04        -2.589076e+03 
##       FunctionalMin2        FunctionalMod        FunctionalSev 
##        -3.189530e+03         2.305927e+02        -2.097477e+04 
##        FunctionalTyp           Fireplaces          FireplaceQu 
##         4.069652e+03         4.535966e+03        -1.931819e+03 
##     GarageTypeAttchd    GarageTypeBasment    GarageTypeBuiltIn 
##         9.616425e+02        -2.839458e+03         5.629062e+03 
##    GarageTypeCarPort     GarageTypeDetchd          GarageYrBlt 
##        -6.803889e+03        -2.102907e+03         5.668796e+01 
##         GarageFinish           GarageCars           GarageArea 
##        -2.262755e+03         4.838113e+03         1.611576e+01 
##           GarageQual           GarageCond          PavedDriveP 
##        -3.657514e+02         6.815781e+02        -1.572798e+03 
##          PavedDriveY           WoodDeckSF          OpenPorchSF 
##         2.550789e+03         1.550527e+01         2.173129e+01 
##        EnclosedPorch           X3SsnPorch          ScreenPorch 
##        -7.754213e-01         1.415451e+01         2.381813e+01 
##             PoolArea               PoolQC                Fence 
##         4.580287e+00        -1.019363e+04         3.438627e+02 
##      MiscFeatureOthr      MiscFeatureShed      MiscFeatureTenC 
##        -3.889066e+03         2.936070e+03        -6.872366e+03 
##              MiscVal               MoSold               YrSold 
##        -8.266199e-02         1.317703e+01        -4.019605e+01 
##          SaleTypeCon        SaleTypeConLD        SaleTypeConLI 
##         1.424528e+04        -3.174318e+03         1.635074e+03 
##        SaleTypeConLw          SaleTypeCWD          SaleTypeNew 
##        -2.699935e+03         9.128879e+03         5.894569e+03 
##          SaleTypeOth           SaleTypeWD SaleConditionAdjLand 
##        -3.019766e+03        -2.563088e+03        -8.666005e+02 
##  SaleConditionAlloca  SaleConditionFamily  SaleConditionNormal 
##         5.457300e+02        -4.932518e+03        -1.962327e+02 
## SaleConditionPartial 
##         5.595717e+03
cv_out <- cv.glmnet(train_knn_actual,price, alpha = 0, nfolds = 10)
plot(cv_out)

bestlam_proj <- cv_out$lambda.min
bestlam_proj
## [1] 48636.17
# Finding Estimated Test Error
coef(ridge_mod, s = bestlam_proj) # Lambda = bestlam_proj
## 211 x 1 sparse Matrix of class "dgCMatrix"
##                                  1
## (Intercept)          -2.649090e+05
## MSSubClass           -5.586304e+01
## MSZoningFV            2.908223e+03
## MSZoningRH            3.308624e+02
## MSZoningRL            3.433604e+03
## MSZoningRM           -3.160695e+03
## LotFrontage           2.982762e+01
## LotArea               2.743910e-01
## StreetPave            2.053423e+04
## AlleyPave            -2.374335e+02
## LotShapeIR2           6.778881e+03
## LotShapeIR3          -2.300264e+04
## LotShapeReg          -1.301970e+03
## LandContourHLS        7.094479e+03
## LandContourLow       -3.764486e+02
## LandContourLvl        3.214036e+03
## UtilitiesNoSeWa      -2.611984e+04
## LotConfigCulDSac      7.547706e+03
## LotConfigFR2         -5.638497e+03
## LotConfigFR3         -5.839173e+03
## LotConfigInside      -6.609282e+02
## LandSlopeMod          4.172089e+03
## LandSlopeSev         -3.171775e+03
## NeighborhoodBlueste  -2.735901e+03
## NeighborhoodBrDale   -4.045490e+02
## NeighborhoodBrkSide   3.179851e+03
## NeighborhoodClearCr   1.238179e+03
## NeighborhoodCollgCr  -3.439745e+03
## NeighborhoodCrawfor   1.290176e+04
## NeighborhoodEdwards  -9.506880e+03
## NeighborhoodGilbert  -8.383031e+03
## NeighborhoodIDOTRR   -4.575523e+03
## NeighborhoodMeadowV  -1.203960e+04
## NeighborhoodMitchel  -7.953354e+03
## NeighborhoodNAmes    -4.709745e+03
## NeighborhoodNoRidge   3.162377e+04
## NeighborhoodNPkVill  -6.738089e+02
## NeighborhoodNridgHt   2.266162e+04
## NeighborhoodNWAmes   -5.162354e+03
## NeighborhoodOldTown  -3.705305e+03
## NeighborhoodSawyer   -2.675056e+03
## NeighborhoodSawyerW  -3.457139e+02
## NeighborhoodSomerst   3.491481e+03
## NeighborhoodStoneBr   3.126579e+04
## NeighborhoodSWISU    -2.741856e+03
## NeighborhoodTimber   -2.893872e+02
## NeighborhoodVeenker   8.875748e+03
## Condition1Feedr      -6.403113e+03
## Condition1Norm        5.284289e+03
## Condition1PosA        4.721655e+03
## Condition1PosN       -1.722652e+03
## Condition1RRAe       -1.015021e+04
## Condition1RRAn        2.013958e+03
## Condition1RRNe       -7.798470e+03
## Condition1RRNn       -2.406937e+03
## Condition2Feedr       3.047861e+02
## Condition2Norm        8.626465e+03
## Condition2PosA        4.317380e+04
## Condition2PosN       -8.519229e+04
## Condition2RRAe       -1.342680e+04
## Condition2RRAn        3.544811e+03
## Condition2RRNn        1.081446e+04
## BldgType2fmCon       -3.616159e+03
## BldgTypeDuplex       -3.224213e+03
## BldgTypeTwnhs        -1.001234e+04
## BldgTypeTwnhsE       -8.053563e+03
## HouseStyle1.5Unf      2.961732e+03
## HouseStyle1Story     -8.540191e+02
## HouseStyle2.5Fin      1.981096e+03
## HouseStyle2.5Unf     -1.958811e+03
## HouseStyle2Story      1.117766e+03
## HouseStyleSFoyer     -2.882933e+03
## HouseStyleSLvl       -3.302142e+03
## OverallQual           5.648420e+03
## OverallCond           2.770334e+03
## YearBuilt             5.283254e+01
## YearRemodAdd          1.278364e+02
## RoofStyleGable       -3.764429e+03
## RoofStyleGambrel      9.846844e+02
## RoofStyleHip          3.497412e+03
## RoofStyleMansard      2.566028e+03
## RoofStyleShed         1.839303e+04
## RoofMatlCompShg       5.676635e+03
## RoofMatlMembran       2.514728e+04
## RoofMatlMetal         6.403139e+03
## RoofMatlRoll         -2.846736e+02
## RoofMatlTar&Grv       5.679091e+02
## RoofMatlWdShake       3.036753e+03
## RoofMatlWdShngl       6.853290e+04
## Exterior1stAsphShn    6.810018e+01
## Exterior1stBrkComm   -4.924516e+03
## Exterior1stBrkFace    1.053976e+04
## Exterior1stCBlock    -1.081936e+04
## Exterior1stCemntBd    6.572324e+03
## Exterior1stHdBoard   -1.954745e+03
## Exterior1stImStucc   -1.500270e+04
## Exterior1stMetalSd    3.234276e+01
## Exterior1stPlywood   -1.254828e+03
## Exterior1stStone      1.235116e+04
## Exterior1stStucco    -4.721419e+03
## Exterior1stVinylSd    4.513183e+02
## Exterior1stWd Sdng   -1.825135e+03
## Exterior1stWdShing   -9.743380e+02
## Exterior2ndAsphShn   -2.610405e+02
## Exterior2ndBrk Cmn   -9.327667e+02
## Exterior2ndBrkFace    2.356242e+03
## Exterior2ndCBlock    -1.081480e+04
## Exterior2ndCmentBd    5.752706e+03
## Exterior2ndHdBoard   -1.086277e+03
## Exterior2ndImStucc    1.930775e+04
## Exterior2ndMetalSd   -1.117742e+02
## Exterior2ndOther     -2.037398e+03
## Exterior2ndPlywood   -2.017329e+03
## Exterior2ndStone     -3.696793e+03
## Exterior2ndStucco    -8.448946e+03
## Exterior2ndVinylSd    9.755412e+02
## Exterior2ndWd Sdng    5.150237e+01
## Exterior2ndWd Shng   -3.523133e+03
## MasVnrTypeBrkFace    -6.675880e+02
## MasVnrTypeNone        1.672037e+02
## MasVnrTypeStone       3.927503e+03
## MasVnrArea            2.099860e+01
## ExterQual            -7.613969e+03
## ExterCond             2.038908e+01
## FoundationCBlock     -1.689585e+03
## FoundationPConc       2.964133e+03
## FoundationSlab        2.743702e+03
## FoundationStone       4.423429e+02
## FoundationWood       -7.606310e+03
## BsmtQual             -5.881418e+03
## BsmtCond              1.010775e+03
## BsmtExposureGd        1.260743e+04
## BsmtExposureMn       -1.286794e+03
## BsmtExposureNo       -5.791830e+03
## BsmtFinType1         -6.454612e+02
## BsmtFinSF1            7.306214e+00
## BsmtFinType2         -3.943604e+01
## BsmtFinSF2            2.422912e+00
## BsmtUnfSF            -3.078921e-01
## TotalBsmtSF           7.924328e+00
## HeatingGasA          -2.047803e+03
## HeatingGasW           6.370154e+03
## HeatingGrav          -4.972627e+03
## HeatingOthW          -1.509486e+04
## HeatingWall           1.572461e+03
## HeatingQC            -1.053758e+03
## CentralAir            3.083700e+03
## ElectricalFuseF       2.241821e+01
## ElectricalFuseP       3.228089e+03
## ElectricalMix        -4.379994e+03
## ElectricalSBrkr      -4.692798e+02
## X1stFlrSF             1.332474e+01
## X2ndFlrSF             9.522207e+00
## LowQualFinSF          1.947451e+00
## GrLivArea             1.382604e+01
## BsmtFullBath          4.387930e+03
## BsmtHalfBath         -8.065865e+02
## FullBath              6.597516e+03
## HalfBath              3.800977e+03
## BedroomAbvGr          3.719341e+02
## KitchenAbvGr         -7.000867e+03
## KitchenQual          -1.832103e+03
## TotRmsAbvGrd          3.030541e+03
## FunctionalMaj2       -1.527935e+04
## FunctionalMin1       -3.429187e+03
## FunctionalMin2       -3.196291e+03
## FunctionalMod        -6.506370e+02
## FunctionalSev        -3.295282e+04
## FunctionalTyp         6.495734e+03
## Fireplaces            4.595419e+03
## FireplaceQu          -1.784471e+03
## GarageTypeAttchd      4.180317e+02
## GarageTypeBasment    -2.678134e+03
## GarageTypeBuiltIn     6.558531e+03
## GarageTypeCarPort    -6.632254e+03
## GarageTypeDetchd     -1.402455e+03
## GarageYrBlt           4.489688e+01
## GarageFinish         -1.633222e+03
## GarageCars            5.530663e+03
## GarageArea            1.619250e+01
## GarageQual           -1.445869e+02
## GarageCond            1.324101e+03
## PavedDriveP          -1.313107e+03
## PavedDriveY           2.128271e+03
## WoodDeckSF            1.599043e+01
## OpenPorchSF           1.768322e+01
## EnclosedPorch         2.120315e-01
## X3SsnPorch            2.347119e+01
## ScreenPorch           3.222107e+01
## PoolArea             -1.198446e+01
## PoolQC               -1.785963e+04
## Fence                 2.127513e+02
## MiscFeatureOthr      -1.199685e+03
## MiscFeatureShed       5.046240e+03
## MiscFeatureTenC      -2.199935e+04
## MiscVal              -8.643477e-02
## MoSold               -1.048510e+02
## YrSold               -5.817928e+01
## SaleTypeCon           2.063077e+04
## SaleTypeConLD        -5.161670e+02
## SaleTypeConLI         2.045382e+03
## SaleTypeConLw        -2.737078e+03
## SaleTypeCWD           1.400226e+04
## SaleTypeNew           6.930242e+03
## SaleTypeOth          -3.127327e+02
## SaleTypeWD           -2.266973e+03
## SaleConditionAdjLand  3.363853e+03
## SaleConditionAlloca   2.201859e+03
## SaleConditionFamily  -5.884527e+03
## SaleConditionNormal   1.115425e+03
## SaleConditionPartial  6.393713e+03
cv_out$lambda == bestlam_proj
##   [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [12] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [23] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [34] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [45] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [56] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [67] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [78]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##  [89] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [100] FALSE
cv_out$cvm[80]
## [1] 1164738616
sqrt(cv_out$cvm[80]) # Estimated Test Error
## [1] 34128.27
# Prediction
ridge_pred <- predict(ridge_mod, s = bestlam_proj, newx = test_knn)

# Writing .csv file for kaggle submission
ridge_csv <- cbind("Id"=1461:2919, "SalePrice" = ridge_pred)
write.csv(ridge_csv, file = "ridge.csv", row.names = FALSE)
Shrinkage: Ridge

Shrinkage: Ridge

Lasso

library(glmnet)
lasso_mod <- glmnet(train_knn_actual,price, alpha=1, lambda=grid)

# Use cv to find parameter, lambda
cv_out_lasso <- cv.glmnet(train_knn_actual, price, alpha=1)
plot(cv_out_lasso)

bestlam_lasso <- cv_out_lasso$lambda.min
coef(lasso_mod, s=bestlam_lasso)
## 211 x 1 sparse Matrix of class "dgCMatrix"
##                                  1
## (Intercept)          -4.021257e+05
## MSSubClass           -1.718128e+02
## MSZoningFV            .           
## MSZoningRH            .           
## MSZoningRL            2.706469e+02
## MSZoningRM           -3.610283e+03
## LotFrontage           .           
## LotArea               3.062037e-01
## StreetPave            9.143865e+03
## AlleyPave             .           
## LotShapeIR2           1.068355e+03
## LotShapeIR3          -2.216058e+04
## LotShapeReg           .           
## LandContourHLS        .           
## LandContourLow        .           
## LandContourLvl        .           
## UtilitiesNoSeWa       .           
## LotConfigCulDSac      6.903184e+03
## LotConfigFR2          .           
## LotConfigFR3          .           
## LotConfigInside       .           
## LandSlopeMod          .           
## LandSlopeSev          .           
## NeighborhoodBlueste   .           
## NeighborhoodBrDale    .           
## NeighborhoodBrkSide   1.438684e+02
## NeighborhoodClearCr   .           
## NeighborhoodCollgCr   .           
## NeighborhoodCrawfor   1.276166e+04
## NeighborhoodEdwards  -4.029387e+03
## NeighborhoodGilbert   .           
## NeighborhoodIDOTRR    .           
## NeighborhoodMeadowV   .           
## NeighborhoodMitchel   .           
## NeighborhoodNAmes     .           
## NeighborhoodNoRidge   3.941825e+04
## NeighborhoodNPkVill   .           
## NeighborhoodNridgHt   3.420922e+04
## NeighborhoodNWAmes    .           
## NeighborhoodOldTown  -2.812294e+03
## NeighborhoodSawyer    .           
## NeighborhoodSawyerW   .           
## NeighborhoodSomerst   6.121220e+03
## NeighborhoodStoneBr   4.086841e+04
## NeighborhoodSWISU     .           
## NeighborhoodTimber    .           
## NeighborhoodVeenker   .           
## Condition1Feedr      -8.713090e+02
## Condition1Norm        7.319671e+03
## Condition1PosA        .           
## Condition1PosN        .           
## Condition1RRAe        .           
## Condition1RRAn        .           
## Condition1RRNe        .           
## Condition1RRNn        .           
## Condition2Feedr       .           
## Condition2Norm        .           
## Condition2PosA        .           
## Condition2PosN       -1.318937e+05
## Condition2RRAe        .           
## Condition2RRAn        .           
## Condition2RRNn        .           
## BldgType2fmCon        .           
## BldgTypeDuplex        .           
## BldgTypeTwnhs        -5.131039e+02
## BldgTypeTwnhsE        .           
## HouseStyle1.5Unf      .           
## HouseStyle1Story      .           
## HouseStyle2.5Fin      .           
## HouseStyle2.5Unf      .           
## HouseStyle2Story      .           
## HouseStyleSFoyer      .           
## HouseStyleSLvl        .           
## OverallQual           1.127667e+04
## OverallCond           3.502659e+03
## YearBuilt             1.100596e+02
## YearRemodAdd          1.072069e+02
## RoofStyleGable       -2.113581e+03
## RoofStyleGambrel      .           
## RoofStyleHip          3.482992e+02
## RoofStyleMansard      .           
## RoofStyleShed         .           
## RoofMatlCompShg       7.129932e+03
## RoofMatlMembran       .           
## RoofMatlMetal         .           
## RoofMatlRoll          .           
## RoofMatlTar&Grv       .           
## RoofMatlWdShake       .           
## RoofMatlWdShngl       7.099485e+04
## Exterior1stAsphShn    .           
## Exterior1stBrkComm    .           
## Exterior1stBrkFace    1.321763e+04
## Exterior1stCBlock     .           
## Exterior1stCemntBd    7.054928e+03
## Exterior1stHdBoard    .           
## Exterior1stImStucc    .           
## Exterior1stMetalSd    .           
## Exterior1stPlywood    .           
## Exterior1stStone      .           
## Exterior1stStucco     .           
## Exterior1stVinylSd    .           
## Exterior1stWd Sdng    .           
## Exterior1stWdShing    .           
## Exterior2ndAsphShn    .           
## Exterior2ndBrk Cmn    .           
## Exterior2ndBrkFace    .           
## Exterior2ndCBlock     .           
## Exterior2ndCmentBd    .           
## Exterior2ndHdBoard    .           
## Exterior2ndImStucc    8.971744e+03
## Exterior2ndMetalSd    .           
## Exterior2ndOther      .           
## Exterior2ndPlywood    .           
## Exterior2ndStone      .           
## Exterior2ndStucco    -6.877693e+03
## Exterior2ndVinylSd    .           
## Exterior2ndWd Sdng    .           
## Exterior2ndWd Shng   -4.147487e+01
## MasVnrTypeBrkFace     .           
## MasVnrTypeNone        .           
## MasVnrTypeStone       .           
## MasVnrArea            1.258372e+01
## ExterQual            -9.929926e+03
## ExterCond             .           
## FoundationCBlock      .           
## FoundationPConc       .           
## FoundationSlab        .           
## FoundationStone       .           
## FoundationWood        .           
## BsmtQual             -7.854281e+03
## BsmtCond              7.669681e+02
## BsmtExposureGd        1.660717e+04
## BsmtExposureMn        .           
## BsmtExposureNo       -5.404062e+03
## BsmtFinType1         -6.419579e+02
## BsmtFinSF1            8.290173e+00
## BsmtFinType2          .           
## BsmtFinSF2            .           
## BsmtUnfSF             .           
## TotalBsmtSF           .           
## HeatingGasA           .           
## HeatingGasW           .           
## HeatingGrav           .           
## HeatingOthW          -1.358465e+04
## HeatingWall           .           
## HeatingQC            -7.085418e+02
## CentralAir            .           
## ElectricalFuseF       .           
## ElectricalFuseP       .           
## ElectricalMix         .           
## ElectricalSBrkr       .           
## X1stFlrSF             1.266437e+00
## X2ndFlrSF             .           
## LowQualFinSF          .           
## GrLivArea             4.611694e+01
## BsmtFullBath          4.883435e+03
## BsmtHalfBath          .           
## FullBath              1.975779e+03
## HalfBath              .           
## BedroomAbvGr          .           
## KitchenAbvGr         -1.724328e+03
## KitchenQual           .           
## TotRmsAbvGrd          7.300691e+02
## FunctionalMaj2       -6.693419e+02
## FunctionalMin1        .           
## FunctionalMin2        .           
## FunctionalMod         .           
## FunctionalSev        -1.642400e+04
## FunctionalTyp         8.503539e+03
## Fireplaces            2.662626e+03
## FireplaceQu          -1.049145e+03
## GarageTypeAttchd      .           
## GarageTypeBasment     .           
## GarageTypeBuiltIn     6.235410e+02
## GarageTypeCarPort     .           
## GarageTypeDetchd      .           
## GarageYrBlt           .           
## GarageFinish          .           
## GarageCars            8.853403e+03
## GarageArea            1.171259e+00
## GarageQual            .           
## GarageCond            2.002719e+02
## PavedDriveP           .           
## PavedDriveY           .           
## WoodDeckSF            8.573379e+00
## OpenPorchSF           .           
## EnclosedPorch         .           
## X3SsnPorch            .           
## ScreenPorch           2.234613e+01
## PoolArea              .           
## PoolQC               -5.728823e+03
## Fence                 .           
## MiscFeatureOthr       .           
## MiscFeatureShed       .           
## MiscFeatureTenC       .           
## MiscVal               .           
## MoSold                .           
## YrSold                .           
## SaleTypeCon           4.796777e+03
## SaleTypeConLD         .           
## SaleTypeConLI         .           
## SaleTypeConLw         .           
## SaleTypeCWD           .           
## SaleTypeNew           1.424453e+04
## SaleTypeOth           .           
## SaleTypeWD            .           
## SaleConditionAdjLand  .           
## SaleConditionAlloca   .           
## SaleConditionFamily   .           
## SaleConditionNormal   .           
## SaleConditionPartial  .
cv_out_lasso$lambda == bestlam_lasso
##  [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [12] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [23] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [34] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
## [45] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [56] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [67] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [78] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [89] FALSE FALSE FALSE
cv_out_lasso$cvm[40]
## [1] 1143491133
sqrt(cv_out_lasso$cvm[40]) # Estimated Test error
## [1] 33815.55
# Predict
lasso_pred <- predict(lasso_mod, s = bestlam_lasso, newx = test_knn) 
Lasso

Lasso

Shrinkage Method Comments

Out of all my methods, the shrinkage methods of Ridge and Lasso performed the best with a score of 0.16032 and 0.16030 respecitvely. Unlike best subset, forward stepwise, and backward stepwise, they account for all the predictors in the final model. The penalty shrinks all of the coefficients towards zero. However, it will not set them to exactly zero. The lasso improved the least squares due to the bias-variance trade-off. This leads to lower test error.

Genearlized Additive Model (GAM)

library(gam)
## Loading required package: splines
## Loaded gam 1.16.1
gam_proj <- gam(price~., data = train_linear2)
## Warning in model.matrix.default(mt, mf, contrasts): non-list contrasts
## argument ignored
gam_proj
## Call:
## gam(formula = price ~ ., data = train_linear2)
## 
## Degrees of Freedom: 1459 total; 1252 Residual
## Residual Deviance: 715971201270
# Prediction
test_gam_frame<- data.frame(test_knn)
gam_pred <- predict(gam_proj, test_gam_frame)
## Warning in predict.lm(object, newdata, se.fit, scale = 1, type = if (type
## == : prediction from a rank-deficient fit may be misleading
gam_pred
##        1461        1462        1463        1464        1465        1466 
## 114449.7432 150911.4118 175885.8992 174296.9908 222298.3588 170807.8304 
##        1467        1468        1469        1470        1471        1472 
## 177212.2100 154658.4204 201996.9926 108339.7875 174048.1451 105495.0198 
##        1473        1474        1475        1476        1477        1478 
## 106596.1127 146007.0583 117701.8456 358068.9684 276634.9832 293747.9243 
##        1479        1480        1481        1482        1483        1484 
## 297322.3814 466484.7057 319019.3816 213488.7715 172499.8530 160445.7771 
##        1485        1486        1487        1488        1489        1490 
## 180773.8004 197768.2026 326380.1690 233811.6281 216354.6976 252336.1074 
##        1491        1492        1493        1494        1495        1496 
## 204130.1842  92142.4453 177350.9789 319947.9969 287117.9433 244463.8952 
##        1497        1498        1499        1500        1501        1502 
## 177725.1454 175820.9613 154412.0651 145264.1687 201196.2264 138319.7399 
##        1503        1504        1505        1506        1507        1508 
## 299125.3664 238850.1605 226666.5315 180344.3160 259613.3634 197171.9597 
##        1509        1510        1511        1512        1513        1514 
## 146987.5201 145073.0863 170971.9401 178458.0408 148336.0990 190953.3774 
##        1515        1516        1517        1518        1519        1520 
## 224051.3496 151045.2747 173072.3740 117682.9206 233266.5611 128357.9800 
##        1521        1522        1523        1524        1525        1526 
## 140400.0216 189270.2123 106757.5714 124263.1091 117368.2895 110081.7824 
##        1527        1528        1529        1530        1531        1532 
## 114863.5893 131062.6013 162639.1916 213493.5520 136144.8413  89959.5046 
##        1533        1534        1535        1536        1537        1538 
## 163802.3681 141545.3308 147805.2211  90138.9630  54270.1021 160041.8858 
##        1539        1540        1541        1542        1543        1544 
## 224033.3977 126602.6060 150339.6718 155460.4728 199753.6207  83316.9101 
##        1545        1546        1547        1548        1549        1550 
## 124630.3480 151527.4831 149272.0824 149487.9568 125133.2610 144245.3381 
##        1551        1552        1553        1554        1555        1556 
## 117295.0754 152291.8796 162000.1842 117934.7488 165360.8013  58275.0957 
##        1557        1558        1559        1560        1561        1562 
## 138887.8197 113719.4485  59752.8239 125284.2799 145154.1907 128997.3198 
##        1563        1564        1565        1566        1567        1568 
## 126375.6022 169167.2982 144030.8868 242140.4661  83119.6712 212467.1572 
##        1569        1570        1571        1572        1573        1574 
## 128751.5975 131037.7292 101996.8048 147326.5110 291477.1362 129862.5514 
##        1575        1576        1577        1578        1579        1580 
## 239455.5393 233520.2635 186003.4149 154806.2075 135226.1114 190387.7445 
##        1581        1582        1583        1584        1585        1586 
## 166581.1144 123785.6338 296692.1050 224143.3427 141619.0847  54961.3902 
##        1587        1588        1589        1590        1591        1592 
## 116731.0236 160374.7436 102585.2210 130024.1934  94106.5417 133377.9526 
##        1593        1594        1595        1596        1597        1598 
## 125639.1132 141030.8730 109090.8688 242240.7154 199460.6418 202225.8403 
##        1599        1600        1601        1602        1603        1604 
## 205170.4937 184599.5629  56780.7426 126988.0923  42641.0052 281087.3525 
##        1605        1606        1607        1608        1609        1610 
## 235375.0093 146388.4404 164601.8015 196569.3398 200546.0460 147782.9005 
##        1611        1612        1613        1614        1615        1616 
## 126632.3505 186927.1261 164571.7808 142724.6270  88533.0428  69850.0746 
##        1617        1618        1619        1620        1621        1622 
##  86105.6096 134373.6520 140358.7495 173443.5648 139859.2857 138512.0822 
##        1623        1624        1625        1626        1627        1628 
## 274548.8443 209281.9159 121902.7943 171927.2888 186169.7835 278818.0595 
##        1629        1630        1631        1632        1633        1634 
## 175352.3728 382264.6356 258326.1149 275812.4407 176369.8429 186039.4283 
##        1635        1636        1637        1638        1639        1640 
## 168918.8945 143200.9395 196604.1649 181819.3483 180540.4583 242874.3302 
##        1641        1642        1643        1644        1645        1646 
## 171387.2871 238380.4054 220469.6896 227458.4101 226928.0947 159634.0848 
##        1647        1648        1649        1650        1651        1652 
## 145203.1322 124356.0776 130713.4207 108915.8642 109964.4898 101913.2308 
##        1653        1654        1655        1656        1657        1658 
## 106824.8439 152229.0172 137331.4921 144173.1107 163768.1617 171152.6188 
##        1659        1660        1661        1662        1663        1664 
## 126064.7490 155052.8481 417336.8462 376685.6451 371506.3646 506645.5302 
##        1665        1666        1667        1668        1669        1670 
## 311426.8683 336441.4166 349293.4204 347024.7232 304905.5617 343545.2236 
##        1671        1672        1673        1674        1675        1676 
## 286661.3427 396028.9614 300244.9471 264499.5066 221558.6721 219885.4795 
##        1677        1678        1679        1680        1681        1682 
## 225996.8122 471871.6445 375494.7706 322152.3424 267153.9962 328861.3520 
##        1683        1684        1685        1686        1687        1688 
## 208949.7598 173905.5766 176803.3300 156657.4027 172622.6804 180114.9347 
##        1689        1690        1691        1692        1693        1694 
## 184834.5437 187766.5689 179096.4913 252659.4167 171282.2382 174553.6905 
##        1695        1696        1697        1698        1699        1700 
## 170632.0189 257434.6359 166537.3018 340267.5798 327166.2546 269020.5641 
##        1701        1702        1703        1704        1705        1706 
## 283569.9609 235221.5548 227699.7844 279623.8465 242469.8870 182853.3437 
##        1707        1708        1709        1710        1711        1712 
## 230455.0169 210014.3524 250301.7717 317188.1381 258873.8371 258429.0044 
##        1713        1714        1715        1716        1717        1718 
## 261513.1764 214950.0144 208295.3102 192084.9580 175421.7227 141944.6747 
##        1719        1720        1721        1722        1723        1724 
## 234911.8081 251205.2764 156647.3581 105444.3723 139124.9082 221039.7124 
##        1725        1726        1727        1728        1729        1730 
## 239672.7441 193239.6406 164794.2500 155775.7994 168071.7624 158930.8036 
##        1731        1732        1733        1734        1735        1736 
## 120316.2638 147807.9311 119283.0407 121061.0437 105406.8843  97873.2225 
##        1737        1738        1739        1740        1741        1742 
## 288376.5505 263888.5450 257854.3860 223830.0962 196244.6113 177270.1344 
##        1743        1744        1745        1746        1747        1748 
## 169904.4623 319457.6511 230444.8864 193229.7388 210637.3522 222550.5456 
##        1749        1750        1751        1752        1753        1754 
## 134764.7239 125974.6291 236575.4428 106039.8499 152248.8106 198635.8331 
##        1755        1756        1757        1758        1759        1760 
## 164413.1469 137374.2661 120947.5236 137967.5739 156780.1995 162476.8402 
##        1761        1762        1763        1764        1765        1766 
## 161988.3129 185149.1758 178431.3989 106626.8347 203252.4675 198070.3936 
##        1767        1768        1769        1770        1771        1772 
## 229682.4236 146191.1659 154702.1678 158791.4869 123290.4854 138529.5589 
##        1773        1774        1775        1776        1777        1778 
## 109241.1677 278867.7906 143031.4529 132834.6223 114081.2445 155144.2793 
##        1779        1780        1781        1782        1783        1784 
## 134415.6272 157609.6069 122854.2486  81113.8132 129375.4593 118735.0619 
##        1785        1786        1787        1788        1789        1790 
## 119028.9565 124523.0111 159111.1491  71381.7440 102815.4247  60873.4893 
##        1791        1792        1793        1794        1795        1796 
## 198665.7766 164301.9503 130410.0162 173614.4391 138205.9971 246427.1695 
##        1797        1798        1799        1800        1801        1802 
## 129448.8983 126673.1660 108279.8788 138566.1829 120366.0474 118391.9226 
##        1803        1804        1805        1806        1807        1808 
## 156999.1930 128569.5425 132040.8140 126533.7699 159337.6611 123935.9017 
##        1809        1810        1811        1812        1813        1814 
## 130680.0997 147237.9538 106697.3940 116082.2189 131686.9710 104005.4163 
##        1815        1816        1817        1818        1819        1820 
##  38668.7833 119251.1722 124514.5356 159142.1427 112119.2053  33810.0882 
##        1821        1822        1823        1824        1825        1826 
## 117795.4192 143359.3368  43530.0858 135376.5696 162314.4944 101743.0000 
##        1827        1828        1829        1830        1831        1832 
## 109824.4929 146477.1917 129774.3465 149843.6502 156567.9567  38695.5575 
##        1833        1834        1835        1836        1837        1838 
## 141494.7863 118195.2274 112803.3332 137621.4733  98076.7624 115289.0519 
##        1839        1840        1841        1842        1843        1844 
## 121028.3984 154855.9692 130704.0450  82380.7498 135532.1275 143667.5932 
##        1845        1846        1847        1848        1849        1850 
## 172422.0305 145639.3263 165233.1079  39504.6717  89900.8084 121901.1198 
##        1851        1852        1853        1854        1855        1856 
## 148342.1884 114312.1839 116120.4183 160258.8514 153878.5346 220048.5924 
##        1857        1858        1859        1860        1861        1862 
## 100817.2570 138627.2145 106443.8036 143789.9964 110882.8193 275400.2291 
##        1863        1864        1865        1866        1867        1868 
## 266255.0715 267441.2225 347827.4760 318879.8295 218075.1907 296574.1273 
##        1869        1870        1871        1872        1873        1874 
## 217494.6268 221483.6821 248342.9973 189017.5794 239794.7308 130842.0411 
##        1875        1876        1877        1878        1879        1880 
## 178618.1889 194866.9033 209336.5115 201874.0900 128072.8478 123918.6752 
##        1881        1882        1883        1884        1885        1886 
## 246244.6669 243820.8174 199311.1188 204549.5604 233676.8981 281858.4820 
##        1887        1888        1889        1890        1891        1892 
## 225925.0546 265173.5931 165174.4420  96194.3221  88574.3274 105074.1699 
##        1893        1894        1895        1896        1897        1898 
## 138143.1050 112417.2056 135962.0235 129907.1297 118413.4917  98507.7368 
##        1899        1900        1901        1902        1903        1904 
## 159367.9897 155324.1305 190965.8879 172903.9014 218385.9033 141920.6832 
##        1905        1906        1907        1908        1909        1910 
## 194905.7469 153692.0861 238384.4489 113657.1616 138958.0221 124499.4713 
##        1911        1912        1913        1914        1915        1916 
## 221305.1761 329964.4849 164629.0664  38197.4663 330573.0352  41887.7424 
##        1917        1918        1919        1920        1921        1922 
## 243851.8783 159651.4410 162362.3180 160149.8766 368574.2643 322068.3376 
##        1923        1924        1925        1926        1927        1928 
## 241094.0730 214159.1211 215093.9015 364134.0659 121782.1483 157492.2622 
##        1929        1930        1931        1932        1933        1934 
## 129010.5170 129851.5125 131792.2737 129756.7793 192335.4361 177804.3663 
##        1935        1936        1937        1938        1939        1940 
## 159968.7245 201504.0003 175245.2758 168047.0463 287281.3732 211443.6855 
##        1941        1942        1943        1944        1945        1946 
## 165422.1596 162806.4726 240212.4223 345281.8504 390113.5078 121479.6731 
##        1947        1948        1949        1950        1951        1952 
## 109372.7430 144867.6795 220568.4041 187290.6529 246896.1668 212467.5286 
##        1953        1954        1955        1956        1957        1958 
## 174318.3151 178980.3701 122698.9639 263225.8522 146788.6740 259029.3682 
##        1959        1960        1961        1962        1963        1964 
## 138110.2348  94425.6403 120371.8250 105911.1467 119055.5045 113929.1595 
##        1965        1966        1967        1968        1969        1970 
## 143292.9275 144878.2373 321483.1528 400376.1439 381976.3877 388673.5182 
##        1971        1972        1973        1974        1975        1976 
## 444738.0186 361112.2223 305098.4214 322685.8957 561283.9188 294916.5384 
##        1977        1978        1979        1980        1981        1982 
## 376685.0405 346087.1139 311708.2388 208707.6276 348951.7687 231981.2011 
##        1983        1984        1985        1986        1987        1988 
## 212042.6617 207442.7968 236619.7090 214956.1044 226385.8514 175912.0240 
##        1989        1990        1991        1992        1993        1994 
## 191165.8475 224937.7939 245248.2449 231797.4597 170143.3346 234904.0291 
##        1995        1996        1997        1998        1999        2000 
## 178971.7042 292486.0342 290874.6512 327842.2486 308456.2423 325690.7003 
##        2001        2002        2003        2004        2005        2006 
## 260777.3785 246562.1734 244600.1308 287369.0691 233110.5869 225891.4482 
##        2007        2008        2009        2010        2011        2012 
## 241976.1443 244221.0417 197108.3830 196865.3396 110040.4462 176118.7709 
##        2013        2014        2015        2016        2017        2018 
## 180625.3550 186499.3545 219547.0962 195624.1855 203860.7405  87910.4435 
##        2019        2020        2021        2022        2023        2024 
## 142285.5720  77710.2788 106027.6877 202714.8348 146040.3950 311239.6603 
##        2025        2026        2027        2028        2029        2030 
## 364780.9253 168561.2637 157427.2107 161384.9359 168260.7207 239304.7649 
##        2031        2032        2033        2034        2035        2036 
## 233970.9622 228527.4896 233474.8785 174526.2346 219434.9516 196267.0263 
##        2037        2038        2039        2040        2041        2042 
## 214806.4437 301835.4579 230388.7159 325848.9046 283622.4068 222556.6995 
##        2043        2044        2045        2046        2047        2048 
## 174208.7232 171216.3992 189560.5452 152855.8819 140935.0211 142817.9754 
##        2049        2050        2051        2052        2053        2054 
## 139615.3155 161093.7790 102918.3130 110917.2295 133304.7200  75425.0064 
##        2055        2056        2057        2058        2059        2060 
## 176431.1816 137086.4556  93358.3015 210046.4443 129311.0831 178436.8637 
##        2061        2062        2063        2064        2065        2066 
## 171198.6560 127833.0550 107188.0127 135934.3065  92753.4733 165001.3315 
##        2067        2068        2069        2070        2071        2072 
##  95429.3724 146550.0864  93983.5330 107622.9173 107317.3237 137296.7527 
##        2073        2074        2075        2076        2077        2078 
## 119199.9909 174639.8252 152774.4531 139357.3792 164452.6726 127436.2070 
##        2079        2080        2081        2082        2083        2084 
## 124062.1432 119963.3945 130084.8069 136763.7920 153050.5653  98631.5314 
##        2085        2086        2087        2088        2089        2090 
## 108484.1497 107306.5359 114906.2689 105419.9478  85411.7793 121217.0554 
##        2091        2092        2093        2094        2095        2096 
##  97847.5626 123853.3015 144113.0333 127696.3065 167684.1552  93401.3676 
##        2097        2098        2099        2100        2101        2102 
## 102491.7562 154321.8294  36268.6876  49905.9954 124044.3812 119074.1613 
##        2103        2104        2105        2106        2107        2108 
## 100618.9015 129677.9553 159101.1234  59382.2585 183992.4894 124953.9819 
##        2109        2110        2111        2112        2113        2114 
## 112470.8798 135889.2119 156388.5581 145401.4651 123051.9131 110848.6283 
##        2115        2116        2117        2118        2119        2120 
## 172485.3996 111858.9086 162011.0956 126863.5036 127001.9900  99000.9656 
##        2121        2122        2123        2124        2125        2126 
## 103364.8926 146161.8722  83453.5493 175099.0164 135052.9126 157698.1098 
##        2127        2128        2129        2130        2131        2132 
## 166895.9142 157610.4884  58065.6663 146782.9094 119226.4889 107236.1035 
##        2133        2134        2135        2136        2137        2138 
## 134264.3384 119115.0124 109065.3983  64400.9619 116004.6858 135320.8445 
##        2139        2140        2141        2142        2143        2144 
## 137933.5484 137757.7647 164339.3046 124602.5530 151403.2323 121949.7113 
##        2145        2146        2147        2148        2149        2150 
## 138709.9071 184176.3524 140881.1632 120988.8868 145784.9952 221149.2810 
##        2151        2152        2153        2154        2155        2156 
## 125772.7953 203303.7492 204211.4284 106273.5650 141381.9362 286191.5662 
##        2157        2158        2159        2160        2161        2162 
## 236290.0485 243441.4031 231769.0169 185000.3131 232813.6336 366506.4548 
##        2163        2164        2165        2166        2167        2168 
## 335098.7808 248273.6085 200378.6347 143109.1859 289765.5749 182384.0086 
##        2169        2170        2171        2172        2173        2174 
## 192893.6583 218329.1358 144703.8477 126021.6193 155263.1909 228658.7023 
##        2175        2176        2177        2178        2179        2180 
## 270664.2075 308801.2600 250031.4384 214061.0229 132186.2331 230930.4621 
##        2181        2182        2183        2184        2185        2186 
## 187411.6009 213757.8801 189387.5864 121233.9240 123283.0457 155999.9822 
##        2187        2188        2189        2190        2191        2192 
## 151384.7331 152330.5943 274032.7831  83807.0799  65051.3862  78918.1576 
##        2193        2194        2195        2196        2197        2198 
## 103209.7074  96689.9329  92840.0688 115711.2001 110896.0605 161215.1448 
##        2199        2200        2201        2202        2203        2204 
## 169743.4872 152928.8724 150728.0950 210553.3138 140700.2662 186205.5015 
##        2205        2206        2207        2208        2209        2210 
## 120665.2941 155995.1137 215087.1207 247908.8050 248669.5546 128933.7157 
##        2211        2212        2213        2214        2215        2216 
## 118395.1676 134339.3931 113693.3029 162134.0338 105603.2930 160900.2919 
##        2217        2218        2219        2220        2221        2222 
##  99235.1093  52162.7913  41801.7204   4782.2623 330264.7925 284904.8359 
##        2223        2224        2225        2226        2227        2228 
## 272967.1443 201490.7974 103278.1160 197161.7787 198479.5294 284200.0681 
##        2229        2230        2231        2232        2233        2234 
## 256544.2180 184230.1645 217661.4100 175674.5073 186279.7611 245856.7151 
##        2235        2236        2237        2238        2239        2240 
## 235241.6928 253859.9888 310716.7053 193880.0366 120952.7949 145692.4586 
##        2241        2242        2243        2244        2245        2246 
## 149502.1639 134227.2477 134956.3819 114705.7113 126376.3012 129900.2192 
##        2247        2248        2249        2250        2251        2252 
## 123422.3176 119238.4659 111983.9881 123748.7441  58175.3706 193042.3850 
##        2253        2254        2255        2256        2257        2258 
## 160109.6597 180352.2618 189371.6605 176609.0459 204458.7578 142204.0116 
##        2259        2260        2261        2262        2263        2264 
## 176733.2238 106544.5174 236941.4529 258561.2745 359426.8863 445935.6977 
##        2265        2266        2267        2268        2269        2270 
## 143862.7610 305478.0451 409596.2133 468387.8027 141168.9590 191431.1256 
##        2271        2272        2273        2274        2275        2276 
## 210800.0583 165744.8654 144071.4811 182941.5622 151374.6406 195548.1652 
##        2277        2278        2279        2280        2281        2282 
## 181843.9247 152390.0072  95535.8440  99093.1719 152130.1879 168204.2517 
##        2283        2284        2285        2286        2287        2288 
## 119967.3488 102911.4654 156149.5733 121417.7339 374068.7409 310660.1988 
##        2289        2290        2291        2292        2293        2294 
## 378047.7977 432751.1140 344160.7913 403524.8049 451701.6975 374345.2346 
##        2295        2296        2297        2298        2299        2300 
## 462125.2190 299229.6371 367789.6271 352401.8587 343128.0425 336923.5096 
##        2301        2302        2303        2304        2305        2306 
## 320316.4360 273845.9571 258154.0663 273549.0988 236986.3094 227375.8015 
##        2307        2308        2309        2310        2311        2312 
## 221289.1108 242924.5321 313128.0241 226016.2179 220193.2982 186104.8486 
##        2313        2314        2315        2316        2317        2318 
## 167602.6220 180028.4056 195046.3900 203637.4378 190312.4893 187907.1032 
##        2319        2320        2321        2322        2323        2324 
## 193032.0171 190305.8023 243896.9804 212826.2921 201083.0031 174649.6083 
##        2325        2326        2327        2328        2329        2330 
## 217516.3827 178111.8311 200213.6705 217550.1758 186570.9134 174726.7304 
##        2331        2332        2333        2334        2335        2336 
## 338441.7369 389161.4692 322123.4910 277680.0745 289558.6511 326861.5755 
##        2337        2338        2339        2340        2341        2342 
## 216494.1330 257039.4306 214198.3198 387587.6849 216371.0039 236585.9279 
##        2343        2344        2345        2346        2347        2348 
## 230219.2985 218831.7154 228520.6352 214629.2464 213087.0285 257259.4426 
##        2349        2350        2351        2352        2353        2354 
## 209986.6896 296214.3099 273318.3400 244077.6993 257400.1672 163860.4364 
##        2355        2356        2357        2358        2359        2360 
## 152998.8679 140318.0008 194862.1009 206606.4147 111252.1845 124039.1947 
##        2361        2362        2363        2364        2365        2366 
## 152573.0252 264563.6176 138265.4286 167301.5659 203333.2747 186882.5280 
##        2367        2368        2369        2370        2371        2372 
## 213073.6152 221101.1276 217530.9728 163678.7653 161682.5806 200841.1787 
##        2373        2374        2375        2376        2377        2378 
## 295435.9322 307285.7530 244118.1864 296554.4736 356885.7564 152986.6704 
##        2379        2380        2381        2382        2383        2384 
## 224344.2206 145548.0136 170491.9473 198081.5434 191693.8716 239403.2589 
##        2385        2386        2387        2388        2389        2390 
## 146917.6915 125936.1109 129085.0511 100680.5768 119057.8302 160110.1207 
##        2391        2392        2393        2394        2395        2396 
## 141359.9598 120774.5292 177744.2835 134554.0433 219815.6789 131207.8201 
##        2397        2398        2399        2400        2401        2402 
## 211190.2050 122657.3588  92524.3313  74712.7707 125201.8033 130043.7776 
##        2403        2404        2405        2406        2407        2408 
## 139981.1442 146228.1884 159003.5302 140435.3250 119627.5618 136821.8859 
##        2409        2410        2411        2412        2413        2414 
## 104194.0422 181403.8952 110845.7096 157746.4454 120871.9791 137582.8465 
##        2415        2416        2417        2418        2419        2420 
## 132191.4483 129100.0536 124583.6155 123857.7046 128076.7188 117189.5530 
##        2421        2422        2423        2424        2425        2426 
## 145229.2576 103223.3392 126106.4722 136210.9996 208899.9427 136279.6923 
##        2427        2428        2429        2430        2431        2432 
## 142139.8573 176717.3606  89552.3107 129725.1110 105471.7897 144086.4606 
##        2433        2434        2435        2436        2437        2438 
## 159082.4699 149871.6940 173012.5485 106942.9057  98122.4406 102550.4506 
##        2439        2440        2441        2442        2443        2444 
## 101558.8186 127646.7407 114983.0509 101224.4908 133659.8897 126244.1558 
##        2445        2446        2447        2448        2449        2450 
##  97631.3834 126781.6026 195555.6470 138108.6337 104913.9263 162274.6772 
##        2451        2452        2453        2454        2455        2456 
## 120516.4321 205946.6793  84715.2068 115725.6236 130869.6048 174223.3186 
##        2457        2458        2459        2460        2461        2462 
## 158840.4965 144259.1663 125327.4686 142666.8841 127465.2447 129127.7157 
##        2463        2464        2465        2466        2467        2468 
## 130812.7829 195382.4142 134296.6282 118883.1624 120229.5795  82455.2736 
##        2469        2470        2471        2472        2473        2474 
##  96075.6134 206622.9330 231715.4825 195829.7229 132218.6929  74716.6779 
##        2475        2476        2477        2478        2479        2480 
## 208045.9213 111020.5568 127139.8399 156153.9998  97966.2526 159135.1198 
##        2481        2482        2483        2484        2485        2486 
## 128385.4645 123829.1561 102671.7631 127628.1045 120026.5076 154152.3821 
##        2487        2488        2489        2490        2491        2492 
## 188041.0843 165795.7074 155168.8005 129857.2829 103126.0113 196044.2603 
##        2493        2494        2495        2496        2497        2498 
## 146650.2130 134439.7780  61383.3322 227879.2856 159887.6770 113500.7731 
##        2499        2500        2501        2502        2503        2504 
##  76472.5794 111129.5732 152580.2754 148687.5640 103264.7815 171844.8164 
##        2505        2506        2507        2508        2509        2510 
## 239063.0637 255923.7673 293753.3092 251596.2954 211520.4752 204996.9473 
##        2511        2512        2513        2514        2515        2516 
## 181368.7200 222769.6898 228250.0068 366102.5869 160334.3353 162701.6380 
##        2517        2518        2519        2520        2521        2522 
## 147318.5968 150116.2513 252595.0962 227304.1090 189252.2040 226095.6801 
##        2523        2524        2525        2526        2527        2528 
## 112339.3081 128071.9573 143725.5668 164010.4549 115207.0646 148244.5620 
##        2529        2530        2531        2532        2533        2534 
## 110348.1543 119165.4156 263392.1776 226102.4186 195442.2989 244495.9785 
##        2535        2536        2537        2538        2539        2540 
## 277058.9052 225856.7637 261429.5976 199548.9240 186165.7623 188944.5862 
##        2541        2542        2543        2544        2545        2546 
## 181969.4591 161022.2021 114563.4357 119010.4010 130937.1899 124723.4312 
##        2547        2548        2549        2550        2551        2552 
## 134271.0664 162876.7340 148711.3574 709354.5244 133964.5833 131723.3630 
##        2553        2554        2555        2556        2557        2558 
##  63422.8036  81488.6156  89621.7554  90722.6940 102042.2143 183339.2426 
##        2559        2560        2561        2562        2563        2564 
## 154327.1808 163535.7080 151271.0495 168441.0967 151612.6472 183026.0675 
##        2565        2566        2567        2568        2569        2570 
## 135816.8068 177424.9908 140545.4287 214683.0676 229203.5896 123086.5653 
##        2571        2572        2573        2574        2575        2576 
## 192255.3327 173197.3703 222275.1851 358647.6330 136518.3054 137035.7069 
##        2577        2578        2579        2580        2581        2582 
## 164305.3627  73038.3241  19832.9516  91901.2954 124823.3391 130157.1606 
##        2583        2584        2585        2586        2587        2588 
## 304822.7776 164173.9243 179279.7464 229972.8501 200263.5859 138263.0799 
##        2589        2590        2591        2592        2593        2594 
## 148126.9091 199666.9522 233722.9663 228111.2062 261911.5943 175046.1026 
##        2595        2596        2597        2598        2599        2600 
## 206292.6093 292787.2919 195890.7969 275783.3864 370760.7248 150284.4416 
##        2601        2602        2603        2604        2605        2606 
## 114915.6229  70277.9709 102786.6854  86582.6091  67653.1706 130987.5314 
##        2607        2608        2609        2610        2611        2612 
## 191975.6220 163680.7404 158322.9522 109587.6450 209152.6598 169009.7684 
##        2613        2614        2615        2616        2617        2618 
## 123001.4157  99575.8548 155482.6342 154703.2448 205528.2237 175918.7281 
##        2619        2620        2621        2622        2623        2624 
## 205645.2362 170472.1991 171288.7600 180262.3256 231275.0989 281664.8605 
##        2625        2626        2627        2628        2629        2630 
## 316869.9539 162715.7376 184304.1155 451196.6788 487208.2070 403760.4444 
##        2631        2632        2633        2634        2635        2636 
## 449500.9153 398776.4663 320529.2785 413184.8681 145763.1002 160425.9900 
##        2637        2638        2639        2640        2641        2642 
## 189027.9217 276785.0652 180279.1267 141211.0844  98544.4383 171787.9693 
##        2643        2644        2645        2646        2647        2648 
## 114508.7727 115665.9581 128682.0016  99054.5299 110892.9045 152336.3829 
##        2649        2650        2651        2652        2653        2654 
## 149809.0272 133002.5346 156002.9161 372381.4531 266601.8719 284917.6058 
##        2655        2656        2657        2658        2659        2660 
## 401741.2705 324443.7708 366031.1883 329596.2003 340390.4497 350549.3927 
##        2661        2662        2663        2664        2665        2666 
## 382965.7404 379386.4739 286700.6402 281514.7947 319963.4675 311352.0060 
##        2667        2668        2669        2670        2671        2672 
## 187273.8371 192880.4806 192311.7687 275425.0762 195547.4028 200320.6595 
##        2673        2674        2675        2676        2677        2678 
## 205779.1497 204473.6154 190746.7759 188220.6262 203877.7717 242574.0768 
##        2679        2680        2681        2682        2683        2684 
## 273349.0417 286784.7463 386207.9648 319202.2121 460382.5777 326141.2854 
##        2685        2686        2687        2688        2689        2690 
## 348845.7570 266288.8590 307031.3118 215563.9077 214554.1683 360167.3497 
##        2691        2692        2693        2694        2695        2696 
## 208595.3701 137331.3983 211835.5248 135805.1055 199840.4368 189801.5912 
##        2697        2698        2699        2700        2701        2702 
## 184133.8443 214931.9989 166879.5389 139440.1134 119763.2978  87517.3045 
##        2703        2704        2705        2706        2707        2708 
##  98938.9533 147299.1935 101784.6694  71764.8600  93153.0840 138557.2278 
##        2709        2710        2711        2712        2713        2714 
## 114396.7425 127300.7815 334779.7365 416867.4489 170680.9821 151113.8961 
##        2715        2716        2717        2718        2719        2720 
## 175870.1306 127250.8242 207782.7439 222592.4428 134313.8869 174389.8676 
##        2721        2722        2723        2724        2725        2726 
## 132775.1048 163160.7532 137669.0378 126088.2587 116633.4148 143238.0717 
##        2727        2728        2729        2730        2731        2732 
## 184063.6414 174615.9847 134118.2571 143558.3420 132077.3306 137256.6437 
##        2733        2734        2735        2736        2737        2738 
## 153375.2089 124323.2306 137178.4708 128906.6420 120097.1170 127678.7003 
##        2739        2740        2741        2742        2743        2744 
## 142342.1223 134273.6999 156459.4674 153227.0121 165783.3916 163711.4610 
##        2745        2746        2747        2748        2749        2750 
## 144430.1955 131054.6239 152690.5146 135538.9482 133005.4888 111722.6972 
##        2751        2752        2753        2754        2755        2756 
## 134671.1871 152096.1495 155266.2739 212527.5786 133715.3707  81699.0209 
##        2757        2758        2759        2760        2761        2762 
##  44597.1407  87841.5111 198575.9544 134880.7925 136964.2733 131177.3139 
##        2763        2764        2765        2766        2767        2768 
## 183413.6756 142124.9652 259202.4735 132642.9124  77599.4582 124180.8020 
##        2769        2770        2771        2772        2773        2774 
## 144974.5764 141426.4087  97449.5869  99572.5157 193676.6952 160428.9707 
##        2775        2776        2777        2778        2779        2780 
## 127657.1140 145608.7335 152080.2199 108817.8623 146329.5845 101395.3362 
##        2781        2782        2783        2784        2785        2786 
##  87379.4858  91498.0343 105247.0400 124433.8389 131599.6376  61493.5865 
##        2787        2788        2789        2790        2791        2792 
## 128560.7245  63007.9623 167476.3337  94226.5008  91670.4414  68974.3393 
##        2793        2794        2795        2796        2797        2798 
## 159929.2969 104330.5584 125300.9615  96175.9105 210916.6059 109153.4900 
##        2799        2800        2801        2802        2803        2804 
## 156197.3738  68947.8718 114459.9752 123987.6177 168650.2293 117953.7783 
##        2805        2806        2807        2808        2809        2810 
## 111162.8886  69010.4149 259050.0689 158016.8437 131070.5570 123496.5993 
##        2811        2812        2813        2814        2815        2816 
## 167695.7559 182006.2873 149853.4904 157770.3178  98463.9407 211618.2358 
##        2817        2818        2819        2820        2821        2822 
## 144754.3424 126323.5516 168948.3570 145084.5527 102550.2426 177444.6185 
##        2823        2824        2825        2826        2827        2828 
## 321201.3186 175240.3144 152152.9751 133276.3614 135929.9584 229253.9862 
##        2829        2830        2831        2832        2833        2834 
## 207790.8987 238718.2705 187116.6723 262141.2370 294185.5919 245738.6985 
##        2835        2836        2837        2838        2839        2840 
## 225118.7852 201451.0842 154263.6670 141512.4018 158922.2583 200698.1887 
##        2841        2842        2843        2844        2845        2846 
## 202391.6795 222438.3725 146002.0154 176267.3419 109979.2153 199498.3364 
##        2847        2848        2849        2850        2851        2852 
## 214115.0399 220902.7683 206726.6679 267124.9331 206634.0835 223390.5167 
##        2853        2854        2855        2856        2857        2858 
## 231976.5768 136970.2742 206121.0123 212589.5620 225216.6385 212891.3723 
##        2859        2860        2861        2862        2863        2864 
##  81236.0748 140331.8473 133344.9785 191953.5375 141855.9638 268997.1239 
##        2865        2866        2867        2868        2869        2870 
## 144336.8903 133612.9939  95610.1179 104423.6765  94875.8689 108053.3717 
##        2871        2872        2873        2874        2875        2876 
##  68867.5843  30922.2745  63376.4237 162803.4811 123741.7074 143560.9021 
##        2877        2878        2879        2880        2881        2882 
## 152574.6006 153670.3497 143382.4689 118828.4298 124732.9004 198169.6487 
##        2883        2884        2885        2886        2887        2888 
## 208009.5578 189581.3868 171792.6852 249475.3089 115676.7596 144193.1656 
##        2889        2890        2891        2892        2893        2894 
##  35206.4359  82942.4475 161172.3475    948.5408  71238.8259  13348.7191 
##        2895        2896        2897        2898        2899        2900 
## 337797.4095 293383.5574 211110.4782 135466.8534 211376.0337 150996.6706 
##        2901        2902        2903        2904        2905        2906 
## 197935.0615 168256.0605 312544.6025 340719.1554  33764.2389 198506.2051 
##        2907        2908        2909        2910        2911        2912 
## 125883.8672 106960.6635 127951.3753  71351.5418  71028.1144 147008.4920 
##        2913        2914        2915        2916        2917        2918 
##  68043.4004  70620.8253  78285.8806  79510.7705 170994.4913 102647.0647 
##        2919 
## 228544.0009

GAM Estimated Test Error

library(mgcv)
## Loading required package: nlme
## This is mgcv 1.8-28. For overview type 'help("mgcv-package")'.
## 
## Attaching package: 'mgcv'
## The following objects are masked from 'package:gam':
## 
##     gam, gam.control, gam.fit, s
library(caret)
set.seed(0)
tr_control_gam <- trainControl(method="cv",number=10)

model_gam <- train(log(price) ~.,
        data = train_linear3,
        method = "gam",
        trControl = tr_control_gam,)
        tuneGrid = data.frame(method = "GCV.Cp",
        select = FALSE)
print(model_gam)
## Generalized Additive Model using Splines 
## 
## 1460 samples
##  210 predictor
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 1314, 1314, 1314, 1315, 1313, 1315, ... 
## Resampling results across tuning parameters:
## 
##   select  RMSE       Rsquared   MAE       
##   FALSE   0.1348424  0.8824320  0.08525905
##    TRUE   0.1281883  0.8971422  0.08542514
## 
## Tuning parameter 'method' was held constant at a value of GCV.Cp
## RMSE was used to select the optimal model using the smallest value.
## The final values used for the model were select = TRUE and method = GCV.Cp.
GAM

GAM

Regression Trees

# Regression Tree
#library(ISLR)
library(tree)
tree_fit <- tree(log(price)~., data = train_linear3)
tree_fit
## node), split, n, deviance, yval
##       * denotes terminal node
## 
##  1) root 1460 232.800 12.02  
##    2) OverallQual < 6.5 912  74.870 11.81  
##      4) GrLivArea < 1378.5 564  39.410 11.70  
##        8) TotalBsmtSF < 799.5 184  15.680 11.51  
##         16) CentralAir < 0.5 45   4.946 11.25 *
##         17) CentralAir > 0.5 139   6.558 11.60 *
##        9) TotalBsmtSF > 799.5 380  13.460 11.80  
##         18) YearBuilt < 1947.5 49   1.794 11.57 *
##         19) YearBuilt > 1947.5 331   8.827 11.83 *
##      5) GrLivArea > 1378.5 348  17.620 11.99  
##       10) GarageFinish < 1.5 156   3.591 12.10 *
##       11) GarageFinish > 1.5 192  10.460 11.90 *
##    3) OverallQual > 6.5 548  50.480 12.37  
##      6) OverallQual < 7.5 319  14.140 12.22  
##       12) GrLivArea < 1822 215   6.778 12.15 *
##       13) GrLivArea > 1822 104   3.734 12.38 *
##      7) OverallQual > 7.5 229  18.640 12.59  
##       14) OverallQual < 8.5 168   8.935 12.50 *
##       15) OverallQual > 8.5 61   4.715 12.83 *
summary(tree_fit)
## 
## Regression tree:
## tree(formula = log(price) ~ ., data = train_linear3)
## Variables actually used in tree construction:
## [1] "OverallQual"  "GrLivArea"    "TotalBsmtSF"  "CentralAir"  
## [5] "YearBuilt"    "GarageFinish"
## Number of terminal nodes:  10 
## Residual mean deviance:  0.04161 = 60.34 / 1450 
## Distribution of residuals:
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## -0.848100 -0.106200  0.005898  0.000000  0.120400  0.703400
# Plotting Commands
par(mfrow=c(1,1))
plot(tree_fit)
text(tree_fit, pretty = 0)

cv_tree <- cv.tree(tree_fit, K=10)
par(mfrow=c(1,2))
plot(cv_tree$k, cv_tree$dev, type = "b")
plot(cv_tree$size, cv_tree$dev, type = "b")

cv_tree_best_size <- cv_tree$size[which.min(cv_tree$dev)]
cv_tree_best_size 
## [1] 10
# Prune Tree
prune <- prune.tree(tree_fit, best = cv_tree_best_size)
par(mfrow=c(1,1))
plot(prune)
text(prune, pretty=0)

#Bagging Method:

library(randomForest)
## randomForest 4.6-14
## Type rfNews() to see new features/changes/bug fixes.
## 
## Attaching package: 'randomForest'
## The following object is masked from 'package:ggplot2':
## 
##     margin
ncol(train_knn) - 1
## [1] 80
SalePrice_bag <- randomForest(log(price)~., data=train_linear3,ntree=1000,mtry=80, importance=TRUE)
importance(SalePrice_bag)
##                           %IncMSE IncNodePurity
## MSSubClass           12.864916682  7.312284e-01
## MSZoningFV            3.885069004  1.824884e-02
## MSZoningRH           -0.840365357  1.334698e-02
## MSZoningRL           10.615092651  4.639981e-01
## MSZoningRM           16.237177866  5.862340e-01
## LotFrontage          14.626536843  1.842209e+00
## LotArea              33.087175373  4.169262e+00
## StreetPave           -1.116573507  4.471000e-02
## AlleyPave             3.197122956  9.177111e-02
## LotShapeIR2           0.141485329  3.225457e-02
## LotShapeIR3          -0.531364632  2.251902e-02
## LotShapeReg           8.861025540  2.127323e-01
## LandContourHLS       -1.988125791  5.539421e-02
## LandContourLow        1.031100622  6.236628e-02
## LandContourLvl        3.196616310  1.562416e-01
## UtilitiesNoSeWa       0.000000000  5.576215e-04
## LotConfigCulDSac      1.048106378  4.682142e-02
## LotConfigFR2         -0.540510106  3.218774e-02
## LotConfigFR3          1.000500375  2.870037e-03
## LotConfigInside       0.828626807  1.106386e-01
## LandSlopeMod          2.307260815  1.138489e-01
## LandSlopeSev         -0.268323646  2.110937e-02
## NeighborhoodBlueste  -0.049287489  1.056539e-03
## NeighborhoodBrDale    2.420605530  1.196579e-02
## NeighborhoodBrkSide  -2.586603996  5.274746e-02
## NeighborhoodClearCr   2.715054230  6.257536e-02
## NeighborhoodCollgCr   5.649689696  4.849655e-02
## NeighborhoodCrawfor  10.914155289  2.333956e-01
## NeighborhoodEdwards   6.723963714  2.145799e-01
## NeighborhoodGilbert   4.850730581  2.896078e-02
## NeighborhoodIDOTRR   -0.002903218  2.868759e-01
## NeighborhoodMeadowV   4.330729017  2.963670e-02
## NeighborhoodMitchel  -1.952150264  3.544993e-02
## NeighborhoodNAmes     8.221035378  1.091137e-01
## NeighborhoodNoRidge   2.322894254  8.819170e-02
## NeighborhoodNPkVill   3.432323413  7.244882e-03
## NeighborhoodNridgHt   3.327675665  5.353314e-02
## NeighborhoodNWAmes    2.408121665  4.392715e-02
## NeighborhoodOldTown   6.156532233  1.719142e-01
## NeighborhoodSawyer    0.602970177  5.304811e-02
## NeighborhoodSawyerW   0.574081603  1.891199e-02
## NeighborhoodSomerst   2.969191138  4.831382e-02
## NeighborhoodStoneBr   1.051891236  2.973113e-02
## NeighborhoodSWISU     2.346978725  1.982110e-02
## NeighborhoodTimber    0.276580144  1.903873e-02
## NeighborhoodVeenker  -0.404622810  7.110018e-03
## Condition1Feedr      -0.018891552  8.606792e-02
## Condition1Norm        4.572104252  1.557886e-01
## Condition1PosA       -2.571840413  5.004203e-03
## Condition1PosN        1.477326336  3.010562e-02
## Condition1RRAe        2.745348468  1.672196e-02
## Condition1RRAn       -0.970603643  1.268156e-02
## Condition1RRNe        0.000000000  2.724513e-04
## Condition1RRNn        0.000000000  1.615779e-03
## Condition2Feedr      -1.603661077  8.861526e-03
## Condition2Norm       -3.298362816  3.867577e-02
## Condition2PosA        0.000000000  1.548138e-03
## Condition2PosN       -2.056572439  1.488163e-02
## Condition2RRAe        0.000000000  1.887888e-04
## Condition2RRAn        0.000000000  1.291138e-05
## Condition2RRNn        0.000000000  1.977132e-03
## BldgType2fmCon       -2.365573628  1.353492e-02
## BldgTypeDuplex        5.068734645  3.395996e-02
## BldgTypeTwnhs         3.280342542  1.722984e-02
## BldgTypeTwnhsE        4.209827804  3.037050e-02
## HouseStyle1.5Unf     -0.146280863  1.019151e-02
## HouseStyle1Story      7.245429127  1.095536e-01
## HouseStyle2.5Fin      0.241561100  9.026860e-03
## HouseStyle2.5Unf     -0.795022509  1.232299e-02
## HouseStyle2Story      9.825533176  1.366887e-01
## HouseStyleSFoyer      1.202161307  5.836701e-03
## HouseStyleSLvl        1.394067919  4.788110e-02
## OverallQual          41.284739729  6.053729e+01
## OverallCond          28.393612275  2.371397e+00
## YearBuilt            24.207170369  2.000832e+01
## YearRemodAdd         18.079898886  2.630005e+00
## RoofStyleGable        4.211429373  1.255795e-01
## RoofStyleGambrel     -1.912247486  5.997160e-02
## RoofStyleHip          3.476610566  1.547996e-01
## RoofStyleMansard      0.000000000  9.407794e-04
## RoofStyleShed         0.000000000  1.343990e-03
## RoofMatlCompShg       0.394210094  4.577796e-02
## RoofMatlMembran       0.000000000  2.501009e-03
## RoofMatlMetal         0.000000000  2.344788e-03
## RoofMatlRoll          0.000000000  5.747679e-06
## RoofMatlTar.Grv      -2.798421348  1.375845e-02
## RoofMatlWdShake       0.000000000  1.244491e-03
## RoofMatlWdShngl       0.286566461  1.491932e-02
## Exterior1stAsphShn    0.000000000  2.377189e-03
## Exterior1stBrkComm    2.018306967  9.990767e-02
## Exterior1stBrkFace    2.612794969  1.007432e-01
## Exterior1stCBlock     0.000000000  2.778709e-04
## Exterior1stCemntBd    1.661748936  3.534706e-02
## Exterior1stHdBoard    2.911579427  6.602957e-02
## Exterior1stImStucc    0.000000000  4.990656e-05
## Exterior1stMetalSd    4.469047485  8.367037e-02
## Exterior1stPlywood    2.331645748  5.483852e-02
## Exterior1stStone      0.000000000  1.264655e-03
## Exterior1stStucco     1.752687428  2.941229e-02
## Exterior1stVinylSd    9.084017175  1.337034e-01
## Exterior1stWd.Sdng    0.052154335  9.118340e-02
## Exterior1stWdShing   -0.433872714  1.500830e-02
## Exterior2ndAsphShn   -1.000500375  4.539771e-03
## Exterior2ndBrk.Cmn    3.131498620  6.611323e-02
## Exterior2ndBrkFace   -1.047316453  7.655411e-02
## Exterior2ndCBlock     0.000000000  4.483090e-04
## Exterior2ndCmentBd    2.960020861  4.251246e-02
## Exterior2ndHdBoard    2.271745782  5.957574e-02
## Exterior2ndImStucc    1.213089424  5.015006e-03
## Exterior2ndMetalSd    5.170955721  7.797677e-02
## Exterior2ndOther      0.000000000  1.079993e-03
## Exterior2ndPlywood    3.037235273  6.815228e-02
## Exterior2ndStone      1.202566008  3.375342e-03
## Exterior2ndStucco     1.533200408  4.785351e-02
## Exterior2ndVinylSd    8.274480000  1.375917e-01
## Exterior2ndWd.Sdng   -0.772881820  8.176730e-02
## Exterior2ndWd.Shng   -1.667926688  2.901902e-02
## MasVnrTypeBrkFace     4.502864746  7.631262e-02
## MasVnrTypeNone        4.690370541  7.280526e-02
## MasVnrTypeStone       5.804301753  6.991626e-02
## MasVnrArea            9.424297282  8.208800e-01
## ExterQual            16.441075605  9.600279e+00
## ExterCond             3.449416538  3.427106e-01
## FoundationCBlock      7.872689016  1.004794e-01
## FoundationPConc       6.061837835  4.799545e-01
## FoundationSlab       -0.464799069  2.107032e-02
## FoundationStone       1.336433648  3.359706e-03
## FoundationWood        1.080072255  4.487969e-03
## BsmtQual             11.923540047  2.524856e+00
## BsmtCond              3.333956993  2.047341e-01
## BsmtExposureGd        9.823784445  2.012252e-01
## BsmtExposureMn        0.392049209  5.906029e-02
## BsmtExposureNo        7.563446855  1.902260e-01
## BsmtFinType1         14.509758848  9.537325e-01
## BsmtFinSF1           27.327748982  4.141677e+00
## BsmtFinType2          2.284527093  1.396936e-01
## BsmtFinSF2            0.838886220  1.698333e-01
## BsmtUnfSF            16.376099779  1.257496e+00
## TotalBsmtSF          35.969778212  1.033737e+01
## HeatingGasA          -0.632169115  5.229732e-02
## HeatingGasW          -2.101550492  1.236640e-02
## HeatingGrav          -0.976932505  1.076796e-01
## HeatingOthW           0.000000000  3.494105e-03
## HeatingWall           3.181579228  7.065988e-04
## HeatingQC             8.150343217  3.158829e-01
## CentralAir           10.954618838  2.548722e+00
## ElectricalFuseF       0.259300829  2.716755e-02
## ElectricalFuseP      -0.312446537  8.294786e-03
## ElectricalMix         0.000000000  1.057911e-02
## ElectricalSBrkr      -0.722573899  1.460160e-01
## X1stFlrSF            29.224572227  8.119040e+00
## X2ndFlrSF            24.990448603  3.000242e+00
## LowQualFinSF         -1.538555703  4.427128e-02
## GrLivArea            52.666591395  3.718873e+01
## BsmtFullBath         11.311077788  3.442791e-01
## BsmtHalfBath          3.315264476  6.489031e-02
## FullBath             12.791852933  6.122171e+00
## HalfBath             13.319723215  3.467425e-01
## BedroomAbvGr         15.169929601  7.457125e-01
## KitchenAbvGr          7.646336839  3.036216e-01
## KitchenQual           0.720141067  8.450693e-02
## TotRmsAbvGrd         12.840858185  1.442883e+00
## FunctionalMaj2        2.295224798  8.085269e-02
## FunctionalMin1        2.384281795  1.989278e-02
## FunctionalMin2        2.193068634  3.304154e-02
## FunctionalMod        -0.344859569  8.624810e-02
## FunctionalSev         0.000000000  1.327871e-02
## FunctionalTyp         7.178816919  1.910988e-01
## Fireplaces           17.679307917  3.006057e+00
## FireplaceQu          16.422875003  2.502014e+00
## GarageTypeAttchd     10.839557279  3.056570e-01
## GarageTypeBasment    -0.150852230  2.730452e-02
## GarageTypeBuiltIn     2.721604836  3.735571e-02
## GarageTypeCarPort     3.791560998  3.289281e-02
## GarageTypeDetchd     13.903498663  5.272153e-01
## GarageYrBlt          13.172783632  3.598240e+00
## GarageFinish         14.059730039  5.111856e+00
## GarageCars           19.980100259  9.377318e+00
## GarageArea           24.317943725  8.574267e+00
## GarageQual            3.130515694  3.048352e-01
## GarageCond            0.842458932  2.654639e-01
## PavedDriveP          -0.595805639  4.375176e-02
## PavedDriveY           4.065619395  3.246822e-01
## WoodDeckSF           11.079068401  7.066062e-01
## OpenPorchSF          12.929586133  1.009361e+00
## EnclosedPorch         0.246294479  3.851974e-01
## X3SsnPorch           -0.354411889  2.653992e-02
## ScreenPorch           5.556699360  1.334291e-01
## PoolArea             -1.150931011  1.236288e-02
## PoolQC               -0.406252292  2.311021e-02
## Fence                 0.848867573  3.076717e-01
## MiscFeatureOthr       0.000000000  9.566078e-03
## MiscFeatureShed      -0.595091473  5.158702e-03
## MiscFeatureTenC       0.000000000  2.855347e-04
## MiscVal               0.221789392  6.235758e-02
## MoSold               -0.512118903  7.723694e-01
## YrSold               -0.201596598  3.812830e-01
## SaleTypeCon           1.000500375  1.169300e-03
## SaleTypeConLD        -1.025477822  1.555255e-02
## SaleTypeConLI        -1.000500375  3.573890e-03
## SaleTypeConLw         0.000000000  2.970886e-03
## SaleTypeCWD           1.000500375  5.389617e-03
## SaleTypeNew           1.724371084  5.298578e-02
## SaleTypeOth          -1.414045025  6.544902e-03
## SaleTypeWD            3.484772025  1.108732e-01
## SaleConditionAdjLand -1.409838460  4.790668e-03
## SaleConditionAlloca   0.908281608  4.299998e-02
## SaleConditionFamily  -2.058469856  1.431168e-01
## SaleConditionNormal   3.565157143  2.545485e-01
## SaleConditionPartial  0.227947481  5.799155e-02
bag.pred <- predict(SalePrice_bag, newdata = test_linear) 
bag_csv <- cbind("Id"=1461:2919, "SalePrice" = exp(bag.pred))
write.csv(bag_csv, file = "bag_final2.csv", row.names = FALSE)
mean((bag.pred - train_linear3$price)^2)
## Warning in bag.pred - train_linear3$price: longer object length is not a
## multiple of shorter object length
## [1] 39034920735
Bagging

Bagging

#CV estimate for Bagging

mtry <- (ncol(train_knn)-1)
mtry
## [1] 80
grid <- expand.grid(mtry= c(mtry))
model_bag <- train(log(price) ~ ., data = train_linear3, method = "rf",ntree = 50, tuneGrid = grid)
print(model_bag)
## Random Forest 
## 
## 1460 samples
##  210 predictor
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 1460, 1460, 1460, 1460, 1460, 1460, ... 
## Resampling results:
## 
##   RMSE       Rsquared   MAE       
##   0.1432591  0.8752257  0.09547408
## 
## Tuning parameter 'mtry' was held constant at a value of 80

#Random Forest

library(randomForest)
randf <- randomForest(log(price) ~ .,data=train_linear2)

# Predict
randf_pred <- predict(randf, newdata = test_linear) 

# Convert to .csv file
randf_csv <- cbind("Id"=1461:2919, "SalePrice" = exp(randf_pred))
write.csv(randf_csv, file = "randf_test.csv", row.names = FALSE)
Random Forest

Random Forest

#CV Estimate for Random Forest

mtry <- (ncol(train_linear3)-1)/3
grid <- expand.grid(mtry= c(mtry))
model_randf <- train(log(price) ~ ., data = train_linear3, method = "rf",ntree = 50, tuneGrid = grid)
print(model_randf)
## Random Forest 
## 
## 1460 samples
##  210 predictor
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 1460, 1460, 1460, 1460, 1460, 1460, ... 
## Resampling results:
## 
##   RMSE       Rsquared   MAE       
##   0.1454373  0.8711602  0.09579707
## 
## Tuning parameter 'mtry' was held constant at a value of 70

Removing outliers

library(tidyverse)
## Registered S3 method overwritten by 'cli':
##   method     from
##   print.tree tree
## ── Attaching packages ──────────────────── tidyverse 1.3.0 ──
## ✔ tibble  2.1.3     ✔ dplyr   0.8.3
## ✔ tidyr   1.0.0     ✔ stringr 1.4.0
## ✔ readr   1.3.1     ✔ forcats 0.4.0
## ✔ purrr   0.3.3
## ── Conflicts ─────────────────────── tidyverse_conflicts() ──
## ✖ purrr::accumulate()    masks foreach::accumulate()
## ✖ dplyr::collapse()      masks nlme::collapse()
## ✖ dplyr::combine()       masks randomForest::combine()
## ✖ tidyr::expand()        masks Matrix::expand()
## ✖ dplyr::filter()        masks stats::filter()
## ✖ dplyr::lag()           masks stats::lag()
## ✖ purrr::lift()          masks caret::lift()
## ✖ randomForest::margin() masks ggplot2::margin()
## ✖ tidyr::pack()          masks Matrix::pack()
## ✖ tidyr::unpack()        masks Matrix::unpack()
## ✖ purrr::when()          masks foreach::when()
train_linear2$SalePrice <- train$SalePrice
train_boost <- train_linear2 %>% filter(GrLivArea < 4500)

Boosting:

library(gbm)
## Loaded gbm 2.1.5
set.seed(0)

fit_gbm = gbm(log(SalePrice)~., data=train_boost,shrinkage=0.05,distribution = "gaussian",n.trees=700,interaction.depth = 5,n.minobsinnode = 10)

# Predict
gbm_pred <- predict(fit_gbm, test_linear,n.trees=700)

# Convert to .csv file
gbm_csv <- cbind("Id"=1461:2919, "SalePrice" = exp(gbm_pred))
write.csv(gbm_csv, file = "gbm_test.csv", row.names = FALSE)

kaggle: 0.12717

#CV estimate for Boosting

library(caret)
tr_control_gbm <- trainControl(method="cv",number=10)
grid_gbm <- expand.grid(n.trees = c(700), interaction.depth = c(5), shrinkage = 0.05,n.minobsinnode=10)
model_gbm <- train(log(SalePrice) ~ ., data=train_boost, method = 'gbm', trControl=tr_control_gbm,tuneGrid=grid_gbm,metric='RMSE',maximize=FALSE)
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 194: MiscFeatureTenC has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 59: Condition2RRAe has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 60: Condition2RRAn has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 89: Exterior1stAsphShn has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 111: Exterior2ndOther has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 167: FunctionalSev has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 84: RoofMatlMetal has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 95: Exterior1stImStucc has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 83: RoofMatlMembran has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 149: ElectricalMix has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 16: UtilitiesNoSeWa has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 57: Condition2PosA has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 58: Condition2PosN has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 92: Exterior1stCBlock has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 106: Exterior2ndCBlock has no variation.
## Warning in (function (x, y, offset = NULL, misc = NULL, distribution =
## "bernoulli", : variable 85: RoofMatlRoll has no variation.
print(model_gbm) #show RMSE
## Stochastic Gradient Boosting 
## 
## 1458 samples
##  210 predictor
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 1312, 1313, 1312, 1313, 1314, 1311, ... 
## Resampling results:
## 
##   RMSE       Rsquared   MAE       
##   0.1175894  0.9139736  0.08040552
## 
## Tuning parameter 'n.trees' was held constant at a value of 700
##  5
## Tuning parameter 'shrinkage' was held constant at a value of
##  0.05
## Tuning parameter 'n.minobsinnode' was held constant at a value of 10